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Finding the Fourth Proportional to 647,538.90, 971,308.35 and 471,282.90

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Solution

The fourth proportional to 647,538.90, 971,308.35 and 471,282.90 is: 706,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,538.90 : 971,308.35 = 471,282.90 : x
  2. Step 2: Convert to fraction form
    647,538.90/971,308.35 = 471,282.90/x
  3. Step 3: Cross multiply
    647,538.90x = 971,308.35 × 471,282.90
  4. Step 4: Simplify right side
    647,538.90x = 457,761,015,982.22
  5. Step 5: Solve for x
    x = 457,761,015,982.22/647,538.90
  6. Step 6: Final answer
    x = 706,924.35

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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.