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Finding the Fourth Proportional to 462,479.61, 638,224.42 and 258,539.12

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Solution

The fourth proportional to 462,479.61, 638,224.42 and 258,539.12 is: 356,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,479.61 : 638,224.42 = 258,539.12 : x
  2. Step 2: Convert to fraction form
    462,479.61/638,224.42 = 258,539.12/x
  3. Step 3: Cross multiply
    462,479.61x = 638,224.42 × 258,539.12
  4. Step 4: Simplify right side
    462,479.61x = 165,005,979,909.31
  5. Step 5: Solve for x
    x = 165,005,979,909.31/462,479.61
  6. Step 6: Final answer
    x = 356,785.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.