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Finding the Fourth Proportional to 457,708.52, 686,468.93 and 173,300.95

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Solution

The fourth proportional to 457,708.52, 686,468.93 and 173,300.95 is: 259,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,708.52 : 686,468.93 = 173,300.95 : x
  2. Step 2: Convert to fraction form
    457,708.52/686,468.93 = 173,300.95/x
  3. Step 3: Cross multiply
    457,708.52x = 686,468.93 × 173,300.95
  4. Step 4: Simplify right side
    457,708.52x = 118,965,717,714.48
  5. Step 5: Solve for x
    x = 118,965,717,714.48/457,708.52
  6. Step 6: Final answer
    x = 259,915.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.