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Finding the Fourth Proportional to 413,116.31, 619,487.55 and 146,883.92

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Solution

The fourth proportional to 413,116.31, 619,487.55 and 146,883.92 is: 220,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,116.31 : 619,487.55 = 146,883.92 : x
  2. Step 2: Convert to fraction form
    413,116.31/619,487.55 = 146,883.92/x
  3. Step 3: Cross multiply
    413,116.31x = 619,487.55 × 146,883.92
  4. Step 4: Simplify right side
    413,116.31x = 90,992,759,735.20
  5. Step 5: Solve for x
    x = 90,992,759,735.20/413,116.31
  6. Step 6: Final answer
    x = 220,259.42

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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.