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Finding the Fourth Proportional to 541,957.68, 813,225.96 and 407,916.36

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Solution

The fourth proportional to 541,957.68, 813,225.96 and 407,916.36 is: 612,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,957.68 : 813,225.96 = 407,916.36 : x
  2. Step 2: Convert to fraction form
    541,957.68/813,225.96 = 407,916.36/x
  3. Step 3: Cross multiply
    541,957.68x = 813,225.96 × 407,916.36
  4. Step 4: Simplify right side
    541,957.68x = 331,728,173,460.71
  5. Step 5: Solve for x
    x = 331,728,173,460.71/541,957.68
  6. Step 6: Final answer
    x = 612,092.39

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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.