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Finding the Fourth Proportional to 413,013.72, 619,520.61 and 146,784.74

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Solution

The fourth proportional to 413,013.72, 619,520.61 and 146,784.74 is: 220,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,013.72 : 619,520.61 = 146,784.74 : x
  2. Step 2: Convert to fraction form
    413,013.72/619,520.61 = 146,784.74/x
  3. Step 3: Cross multiply
    413,013.72x = 619,520.61 × 146,784.74
  4. Step 4: Simplify right side
    413,013.72x = 90,936,171,663.49
  5. Step 5: Solve for x
    x = 90,936,171,663.49/413,013.72
  6. Step 6: Final answer
    x = 220,177.12

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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.