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Finding the Fourth Proportional to 415,610.30, 623,269.65 and 215,864.30

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Solution

The fourth proportional to 415,610.30, 623,269.65 and 215,864.30 is: 323,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,610.30 : 623,269.65 = 215,864.30 : x
  2. Step 2: Convert to fraction form
    415,610.30/623,269.65 = 215,864.30/x
  3. Step 3: Cross multiply
    415,610.30x = 623,269.65 × 215,864.30
  4. Step 4: Simplify right side
    415,610.30x = 134,541,666,708.50
  5. Step 5: Solve for x
    x = 134,541,666,708.50/415,610.30
  6. Step 6: Final answer
    x = 323,720.72

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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.