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Finding the Fourth Proportional to 510,258.90, 704,254.80 and 337,872.84

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Solution

The fourth proportional to 510,258.90, 704,254.80 and 337,872.84 is: 466,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,258.90 : 704,254.80 = 337,872.84 : x
  2. Step 2: Convert to fraction form
    510,258.90/704,254.80 = 337,872.84/x
  3. Step 3: Cross multiply
    510,258.90x = 704,254.80 × 337,872.84
  4. Step 4: Simplify right side
    510,258.90x = 237,948,569,359.63
  5. Step 5: Solve for x
    x = 237,948,569,359.63/510,258.90
  6. Step 6: Final answer
    x = 466,329.09

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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.