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Finding the Fourth Proportional to 510,132.22, 703,988.34 and 292,336.58

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Solution

The fourth proportional to 510,132.22, 703,988.34 and 292,336.58 is: 403,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,132.22 : 703,988.34 = 292,336.58 : x
  2. Step 2: Convert to fraction form
    510,132.22/703,988.34 = 292,336.58/x
  3. Step 3: Cross multiply
    510,132.22x = 703,988.34 × 292,336.58
  4. Step 4: Simplify right side
    510,132.22x = 205,801,543,675.48
  5. Step 5: Solve for x
    x = 205,801,543,675.48/510,132.22
  6. Step 6: Final answer
    x = 403,427.85

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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.