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Finding the Fourth Proportional to 524,781.90, 786,136.05 and 313,793.10

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Solution

The fourth proportional to 524,781.90, 786,136.05 and 313,793.10 is: 470,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,781.90 : 786,136.05 = 313,793.10 : x
  2. Step 2: Convert to fraction form
    524,781.90/786,136.05 = 313,793.10/x
  3. Step 3: Cross multiply
    524,781.90x = 786,136.05 × 313,793.10
  4. Step 4: Simplify right side
    524,781.90x = 246,684,068,151.26
  5. Step 5: Solve for x
    x = 246,684,068,151.26/524,781.90
  6. Step 6: Final answer
    x = 470,069.70

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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.