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Finding the Fourth Proportional to 462,682.35, 638,497.26 and 258,730.93

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Solution

The fourth proportional to 462,682.35, 638,497.26 and 258,730.93 is: 357,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,682.35 : 638,497.26 = 258,730.93 : x
  2. Step 2: Convert to fraction form
    462,682.35/638,497.26 = 258,730.93/x
  3. Step 3: Cross multiply
    462,682.35x = 638,497.26 × 258,730.93
  4. Step 4: Simplify right side
    462,682.35x = 165,198,989,882.25
  5. Step 5: Solve for x
    x = 165,198,989,882.25/462,682.35
  6. Step 6: Final answer
    x = 357,046.23

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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.