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Finding the Fourth Proportional to 506,191.70, 698,489.24 and 279,793.46

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Solution

The fourth proportional to 506,191.70, 698,489.24 and 279,793.46 is: 386,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,191.70 : 698,489.24 = 279,793.46 : x
  2. Step 2: Convert to fraction form
    506,191.70/698,489.24 = 279,793.46/x
  3. Step 3: Cross multiply
    506,191.70x = 698,489.24 × 279,793.46
  4. Step 4: Simplify right side
    506,191.70x = 195,432,721,232.37
  5. Step 5: Solve for x
    x = 195,432,721,232.37/506,191.70
  6. Step 6: Final answer
    x = 386,084.40

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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.