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Finding the Fourth Proportional to 510,216.17, 704,104.79 and 280,799.87

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Solution

The fourth proportional to 510,216.17, 704,104.79 and 280,799.87 is: 387,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,216.17 : 704,104.79 = 280,799.87 : x
  2. Step 2: Convert to fraction form
    510,216.17/704,104.79 = 280,799.87/x
  3. Step 3: Cross multiply
    510,216.17x = 704,104.79 × 280,799.87
  4. Step 4: Simplify right side
    510,216.17x = 197,712,528,573.85
  5. Step 5: Solve for x
    x = 197,712,528,573.85/510,216.17
  6. Step 6: Final answer
    x = 387,507.38

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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.