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Finding the Fourth Proportional to 462,699.14, 638,520.39 and 258,747.71

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Solution

The fourth proportional to 462,699.14, 638,520.39 and 258,747.71 is: 357,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,699.14 : 638,520.39 = 258,747.71 : x
  2. Step 2: Convert to fraction form
    462,699.14/638,520.39 = 258,747.71/x
  3. Step 3: Cross multiply
    462,699.14x = 638,520.39 × 258,747.71
  4. Step 4: Simplify right side
    462,699.14x = 165,215,685,508.21
  5. Step 5: Solve for x
    x = 165,215,685,508.21/462,699.14
  6. Step 6: Final answer
    x = 357,069.36

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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.