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Finding the Fourth Proportional to 457,469.80, 686,231.58 and 176,988.52

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Solution

The fourth proportional to 457,469.80, 686,231.58 and 176,988.52 is: 265,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,469.80 : 686,231.58 = 176,988.52 : x
  2. Step 2: Convert to fraction form
    457,469.80/686,231.58 = 176,988.52/x
  3. Step 3: Cross multiply
    457,469.80x = 686,231.58 × 176,988.52
  4. Step 4: Simplify right side
    457,469.80x = 121,455,111,721.46
  5. Step 5: Solve for x
    x = 121,455,111,721.46/457,469.80
  6. Step 6: Final answer
    x = 265,493.18

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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.