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Finding the Fourth Proportional to 462,724.98, 638,593.04 and 258,794.88

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Solution

The fourth proportional to 462,724.98, 638,593.04 and 258,794.88 is: 357,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,724.98 : 638,593.04 = 258,794.88 : x
  2. Step 2: Convert to fraction form
    462,724.98/638,593.04 = 258,794.88/x
  3. Step 3: Cross multiply
    462,724.98x = 638,593.04 × 258,794.88
  4. Step 4: Simplify right side
    462,724.98x = 165,264,607,861.66
  5. Step 5: Solve for x
    x = 165,264,607,861.66/462,724.98
  6. Step 6: Final answer
    x = 357,155.15

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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.