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Finding the Fourth Proportional to 415,701.50, 623,553.56 and 116,180.10

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Solution

The fourth proportional to 415,701.50, 623,553.56 and 116,180.10 is: 174,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,701.50 : 623,553.56 = 116,180.10 : x
  2. Step 2: Convert to fraction form
    415,701.50/623,553.56 = 116,180.10/x
  3. Step 3: Cross multiply
    415,701.50x = 623,553.56 × 116,180.10
  4. Step 4: Simplify right side
    415,701.50x = 72,444,514,956.16
  5. Step 5: Solve for x
    x = 72,444,514,956.16/415,701.50
  6. Step 6: Final answer
    x = 174,270.52

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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.