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Finding the Fourth Proportional to 461,497.86, 636,924.06 and 267,864.12

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Solution

The fourth proportional to 461,497.86, 636,924.06 and 267,864.12 is: 369,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,497.86 : 636,924.06 = 267,864.12 : x
  2. Step 2: Convert to fraction form
    461,497.86/636,924.06 = 267,864.12/x
  3. Step 3: Cross multiply
    461,497.86x = 636,924.06 × 267,864.12
  4. Step 4: Simplify right side
    461,497.86x = 170,609,102,838.73
  5. Step 5: Solve for x
    x = 170,609,102,838.73/461,497.86
  6. Step 6: Final answer
    x = 369,685.58

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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.