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Finding the Fourth Proportional to 502,617.84, 753,729.93 and 186,902.52

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Solution

The fourth proportional to 502,617.84, 753,729.93 and 186,902.52 is: 280,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,617.84 : 753,729.93 = 186,902.52 : x
  2. Step 2: Convert to fraction form
    502,617.84/753,729.93 = 186,902.52/x
  3. Step 3: Cross multiply
    502,617.84x = 753,729.93 × 186,902.52
  4. Step 4: Simplify right side
    502,617.84x = 140,874,023,316.42
  5. Step 5: Solve for x
    x = 140,874,023,316.42/502,617.84
  6. Step 6: Final answer
    x = 280,280.59

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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.