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Finding the Fourth Proportional to 468,306.84, 646,265.34 and 253,446.78

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Solution

The fourth proportional to 468,306.84, 646,265.34 and 253,446.78 is: 349,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,306.84 : 646,265.34 = 253,446.78 : x
  2. Step 2: Convert to fraction form
    468,306.84/646,265.34 = 253,446.78/x
  3. Step 3: Cross multiply
    468,306.84x = 646,265.34 × 253,446.78
  4. Step 4: Simplify right side
    468,306.84x = 163,793,869,448.61
  5. Step 5: Solve for x
    x = 163,793,869,448.61/468,306.84
  6. Step 6: Final answer
    x = 349,757.59

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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.