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Finding the Fourth Proportional to 462,691.84, 638,516.44 and 269,145.98

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Solution

The fourth proportional to 462,691.84, 638,516.44 and 269,145.98 is: 371,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,691.84 : 638,516.44 = 269,145.98 : x
  2. Step 2: Convert to fraction form
    462,691.84/638,516.44 = 269,145.98/x
  3. Step 3: Cross multiply
    462,691.84x = 638,516.44 × 269,145.98
  4. Step 4: Simplify right side
    462,691.84x = 171,854,132,989.91
  5. Step 5: Solve for x
    x = 171,854,132,989.91/462,691.84
  6. Step 6: Final answer
    x = 371,422.44

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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.