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Finding the Fourth Proportional to 502,286.80, 753,527.40 and 147,312.40

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Solution

The fourth proportional to 502,286.80, 753,527.40 and 147,312.40 is: 220,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,286.80 : 753,527.40 = 147,312.40 : x
  2. Step 2: Convert to fraction form
    502,286.80/753,527.40 = 147,312.40/x
  3. Step 3: Cross multiply
    502,286.80x = 753,527.40 × 147,312.40
  4. Step 4: Simplify right side
    502,286.80x = 111,003,929,759.76
  5. Step 5: Solve for x
    x = 111,003,929,759.76/502,286.80
  6. Step 6: Final answer
    x = 220,997.11

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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.