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Finding the Fourth Proportional to 510,062.85, 703,858.55 and 283,693.77

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Solution

The fourth proportional to 510,062.85, 703,858.55 and 283,693.77 is: 391,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,062.85 : 703,858.55 = 283,693.77 : x
  2. Step 2: Convert to fraction form
    510,062.85/703,858.55 = 283,693.77/x
  3. Step 3: Cross multiply
    510,062.85x = 703,858.55 × 283,693.77
  4. Step 4: Simplify right side
    510,062.85x = 199,680,284,177.77
  5. Step 5: Solve for x
    x = 199,680,284,177.77/510,062.85
  6. Step 6: Final answer
    x = 391,481.72

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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.