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Finding the Fourth Proportional to 520,071.40, 780,107.10 and 319,742.20

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Solution

The fourth proportional to 520,071.40, 780,107.10 and 319,742.20 is: 479,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,071.40 : 780,107.10 = 319,742.20 : x
  2. Step 2: Convert to fraction form
    520,071.40/780,107.10 = 319,742.20/x
  3. Step 3: Cross multiply
    520,071.40x = 780,107.10 × 319,742.20
  4. Step 4: Simplify right side
    520,071.40x = 249,433,160,389.62
  5. Step 5: Solve for x
    x = 249,433,160,389.62/520,071.40
  6. Step 6: Final answer
    x = 479,613.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.