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Finding the Fourth Proportional to 415,808.80, 623,713.20 and 149,610.40

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Solution

The fourth proportional to 415,808.80, 623,713.20 and 149,610.40 is: 224,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,808.80 : 623,713.20 = 149,610.40 : x
  2. Step 2: Convert to fraction form
    415,808.80/623,713.20 = 149,610.40/x
  3. Step 3: Cross multiply
    415,808.80x = 623,713.20 × 149,610.40
  4. Step 4: Simplify right side
    415,808.80x = 93,313,981,337.28
  5. Step 5: Solve for x
    x = 93,313,981,337.28/415,808.80
  6. Step 6: Final answer
    x = 224,415.60

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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.