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Finding the Fourth Proportional to 510,268.60, 704,268.14 and 337,882.68

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Solution

The fourth proportional to 510,268.60, 704,268.14 and 337,882.68 is: 466,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,268.60 : 704,268.14 = 337,882.68 : x
  2. Step 2: Convert to fraction form
    510,268.60/704,268.14 = 337,882.68/x
  3. Step 3: Cross multiply
    510,268.60x = 704,268.14 × 337,882.68
  4. Step 4: Simplify right side
    510,268.60x = 237,960,006,581.82
  5. Step 5: Solve for x
    x = 237,960,006,581.82/510,268.60
  6. Step 6: Final answer
    x = 466,342.64

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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.