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Finding the Fourth Proportional to 422,710.62, 583,347.78 and 229,124.46

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Solution

The fourth proportional to 422,710.62, 583,347.78 and 229,124.46 is: 316,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,710.62 : 583,347.78 = 229,124.46 : x
  2. Step 2: Convert to fraction form
    422,710.62/583,347.78 = 229,124.46/x
  3. Step 3: Cross multiply
    422,710.62x = 583,347.78 × 229,124.46
  4. Step 4: Simplify right side
    422,710.62x = 133,659,245,084.70
  5. Step 5: Solve for x
    x = 133,659,245,084.70/422,710.62
  6. Step 6: Final answer
    x = 316,195.62

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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.