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Finding the Fourth Proportional to 510,043.68, 703,846.15 and 277,462.91

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Solution

The fourth proportional to 510,043.68, 703,846.15 and 277,462.91 is: 382,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,043.68 : 703,846.15 = 277,462.91 : x
  2. Step 2: Convert to fraction form
    510,043.68/703,846.15 = 277,462.91/x
  3. Step 3: Cross multiply
    510,043.68x = 703,846.15 × 277,462.91
  4. Step 4: Simplify right side
    510,043.68x = 195,291,202,037.26
  5. Step 5: Solve for x
    x = 195,291,202,037.26/510,043.68
  6. Step 6: Final answer
    x = 382,891.13

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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.