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Finding the Fourth Proportional to 509,614.80, 764,422.20 and 478,510.80

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Solution

The fourth proportional to 509,614.80, 764,422.20 and 478,510.80 is: 717,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,614.80 : 764,422.20 = 478,510.80 : x
  2. Step 2: Convert to fraction form
    509,614.80/764,422.20 = 478,510.80/x
  3. Step 3: Cross multiply
    509,614.80x = 764,422.20 × 478,510.80
  4. Step 4: Simplify right side
    509,614.80x = 365,784,278,459.76
  5. Step 5: Solve for x
    x = 365,784,278,459.76/509,614.80
  6. Step 6: Final answer
    x = 717,766.20

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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.