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Finding the Fourth Proportional to 385,057.20, 577,683.12 and 310,851.60

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Solution

The fourth proportional to 385,057.20, 577,683.12 and 310,851.60 is: 466,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,057.20 : 577,683.12 = 310,851.60 : x
  2. Step 2: Convert to fraction form
    385,057.20/577,683.12 = 310,851.60/x
  3. Step 3: Cross multiply
    385,057.20x = 577,683.12 × 310,851.60
  4. Step 4: Simplify right side
    385,057.20x = 179,573,722,144.99
  5. Step 5: Solve for x
    x = 179,573,722,144.99/385,057.20
  6. Step 6: Final answer
    x = 466,355.97

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