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Finding the Fourth Proportional to 413,093.92, 619,670.48 and 172,966.20

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Solution

The fourth proportional to 413,093.92, 619,670.48 and 172,966.20 is: 259,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,093.92 : 619,670.48 = 172,966.20 : x
  2. Step 2: Convert to fraction form
    413,093.92/619,670.48 = 172,966.20/x
  3. Step 3: Cross multiply
    413,093.92x = 619,670.48 × 172,966.20
  4. Step 4: Simplify right side
    413,093.92x = 107,182,048,177.78
  5. Step 5: Solve for x
    x = 107,182,048,177.78/413,093.92
  6. Step 6: Final answer
    x = 259,461.69

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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.