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Finding the Fourth Proportional to 502,864.25, 754,341.95 and 165,905.87

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Solution

The fourth proportional to 502,864.25, 754,341.95 and 165,905.87 is: 248,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,864.25 : 754,341.95 = 165,905.87 : x
  2. Step 2: Convert to fraction form
    502,864.25/754,341.95 = 165,905.87/x
  3. Step 3: Cross multiply
    502,864.25x = 754,341.95 × 165,905.87
  4. Step 4: Simplify right side
    502,864.25x = 125,149,758,548.57
  5. Step 5: Solve for x
    x = 125,149,758,548.57/502,864.25
  6. Step 6: Final answer
    x = 248,873.84

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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.