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Finding the Fourth Proportional to 506,263.38, 698,667.70 and 279,923.46

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Solution

The fourth proportional to 506,263.38, 698,667.70 and 279,923.46 is: 386,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,263.38 : 698,667.70 = 279,923.46 : x
  2. Step 2: Convert to fraction form
    506,263.38/698,667.70 = 279,923.46/x
  3. Step 3: Cross multiply
    506,263.38x = 698,667.70 × 279,923.46
  4. Step 4: Simplify right side
    506,263.38x = 195,573,481,896.58
  5. Step 5: Solve for x
    x = 195,573,481,896.58/506,263.38
  6. Step 6: Final answer
    x = 386,307.78

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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.