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Finding the Fourth Proportional to 502,069.08, 753,103.80 and 315,211.80

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Solution

The fourth proportional to 502,069.08, 753,103.80 and 315,211.80 is: 472,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,069.08 : 753,103.80 = 315,211.80 : x
  2. Step 2: Convert to fraction form
    502,069.08/753,103.80 = 315,211.80/x
  3. Step 3: Cross multiply
    502,069.08x = 753,103.80 × 315,211.80
  4. Step 4: Simplify right side
    502,069.08x = 237,387,204,384.84
  5. Step 5: Solve for x
    x = 237,387,204,384.84/502,069.08
  6. Step 6: Final answer
    x = 472,817.81

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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.