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Finding the Fourth Proportional to 462,695.12, 638,514.89 and 258,743.70

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Solution

The fourth proportional to 462,695.12, 638,514.89 and 258,743.70 is: 357,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,695.12 : 638,514.89 = 258,743.70 : x
  2. Step 2: Convert to fraction form
    462,695.12/638,514.89 = 258,743.70/x
  3. Step 3: Cross multiply
    462,695.12x = 638,514.89 × 258,743.70
  4. Step 4: Simplify right side
    462,695.12x = 165,211,706,739.98
  5. Step 5: Solve for x
    x = 165,211,706,739.98/462,695.12
  6. Step 6: Final answer
    x = 357,063.86

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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.