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Finding the Fourth Proportional to 520,096.30, 780,144.45 and 380,128.30

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Solution

The fourth proportional to 520,096.30, 780,144.45 and 380,128.30 is: 570,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.30 : 780,144.45 = 380,128.30 : x
  2. Step 2: Convert to fraction form
    520,096.30/780,144.45 = 380,128.30/x
  3. Step 3: Cross multiply
    520,096.30x = 780,144.45 × 380,128.30
  4. Step 4: Simplify right side
    520,096.30x = 296,554,983,532.94
  5. Step 5: Solve for x
    x = 296,554,983,532.94/520,096.30
  6. Step 6: Final answer
    x = 570,192.45

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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.