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Finding the Fourth Proportional to 413,732.56, 619,374.12 and 255,452.08

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Solution

The fourth proportional to 413,732.56, 619,374.12 and 255,452.08 is: 382,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732.56 : 619,374.12 = 255,452.08 : x
  2. Step 2: Convert to fraction form
    413,732.56/619,374.12 = 255,452.08/x
  3. Step 3: Cross multiply
    413,732.56x = 619,374.12 × 255,452.08
  4. Step 4: Simplify right side
    413,732.56x = 158,220,407,252.17
  5. Step 5: Solve for x
    x = 158,220,407,252.17/413,732.56
  6. Step 6: Final answer
    x = 382,421.94

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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.