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Finding the Fourth Proportional to 502,602.79, 693,692.72 and 298,614.45

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Solution

The fourth proportional to 502,602.79, 693,692.72 and 298,614.45 is: 412,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,602.79 : 693,692.72 = 298,614.45 : x
  2. Step 2: Convert to fraction form
    502,602.79/693,692.72 = 298,614.45/x
  3. Step 3: Cross multiply
    502,602.79x = 693,692.72 × 298,614.45
  4. Step 4: Simplify right side
    502,602.79x = 207,146,670,057.57
  5. Step 5: Solve for x
    x = 207,146,670,057.57/502,602.79
  6. Step 6: Final answer
    x = 412,147.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.