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Finding the Fourth Proportional to 413,062.72, 619,631.04 and 160,337.28

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Solution

The fourth proportional to 413,062.72, 619,631.04 and 160,337.28 is: 240,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,062.72 : 619,631.04 = 160,337.28 : x
  2. Step 2: Convert to fraction form
    413,062.72/619,631.04 = 160,337.28/x
  3. Step 3: Cross multiply
    413,062.72x = 619,631.04 × 160,337.28
  4. Step 4: Simplify right side
    413,062.72x = 99,349,955,557.17
  5. Step 5: Solve for x
    x = 99,349,955,557.17/413,062.72
  6. Step 6: Final answer
    x = 240,520.27

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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.