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Finding the Fourth Proportional to 502,734.48, 693,542.40 and 445,431.84

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Solution

The fourth proportional to 502,734.48, 693,542.40 and 445,431.84 is: 614,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,734.48 : 693,542.40 = 445,431.84 : x
  2. Step 2: Convert to fraction form
    502,734.48/693,542.40 = 445,431.84/x
  3. Step 3: Cross multiply
    502,734.48x = 693,542.40 × 445,431.84
  4. Step 4: Simplify right side
    502,734.48x = 308,925,867,350.02
  5. Step 5: Solve for x
    x = 308,925,867,350.02/502,734.48
  6. Step 6: Final answer
    x = 614,491.11

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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.