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Finding the Fourth Proportional to 415,350.71, 623,017.10 and 115,823.31

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Solution

The fourth proportional to 415,350.71, 623,017.10 and 115,823.31 is: 173,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,350.71 : 623,017.10 = 115,823.31 : x
  2. Step 2: Convert to fraction form
    415,350.71/623,017.10 = 115,823.31/x
  3. Step 3: Cross multiply
    415,350.71x = 623,017.10 × 115,823.31
  4. Step 4: Simplify right side
    415,350.71x = 72,159,902,129.48
  5. Step 5: Solve for x
    x = 72,159,902,129.48/415,350.71
  6. Step 6: Final answer
    x = 173,732.47

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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.