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Finding the Fourth Proportional to 510,279.92, 704,283.76 and 337,893.84

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Solution

The fourth proportional to 510,279.92, 704,283.76 and 337,893.84 is: 466,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,279.92 : 704,283.76 = 337,893.84 : x
  2. Step 2: Convert to fraction form
    510,279.92/704,283.76 = 337,893.84/x
  3. Step 3: Cross multiply
    510,279.92x = 704,283.76 × 337,893.84
  4. Step 4: Simplify right side
    510,279.92x = 237,973,144,116.04
  5. Step 5: Solve for x
    x = 237,973,144,116.04/510,279.92
  6. Step 6: Final answer
    x = 466,358.04

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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.