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Finding the Fourth Proportional to 502,489.47, 693,438.17 and 273,048.57

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Solution

The fourth proportional to 502,489.47, 693,438.17 and 273,048.57 is: 376,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,489.47 : 693,438.17 = 273,048.57 : x
  2. Step 2: Convert to fraction form
    502,489.47/693,438.17 = 273,048.57/x
  3. Step 3: Cross multiply
    502,489.47x = 693,438.17 × 273,048.57
  4. Step 4: Simplify right side
    502,489.47x = 189,342,299,336.67
  5. Step 5: Solve for x
    x = 189,342,299,336.67/502,489.47
  6. Step 6: Final answer
    x = 376,808.49

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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.