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Finding the Fourth Proportional to 506,002.59, 698,260.64 and 312,496.83

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Solution

The fourth proportional to 506,002.59, 698,260.64 and 312,496.83 is: 431,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,002.59 : 698,260.64 = 312,496.83 : x
  2. Step 2: Convert to fraction form
    506,002.59/698,260.64 = 312,496.83/x
  3. Step 3: Cross multiply
    506,002.59x = 698,260.64 × 312,496.83
  4. Step 4: Simplify right side
    506,002.59x = 218,204,234,951.29
  5. Step 5: Solve for x
    x = 218,204,234,951.29/506,002.59
  6. Step 6: Final answer
    x = 431,231.46

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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.