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Finding the Fourth Proportional to 422,594.57, 583,182.28 and 229,002.69

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Solution

The fourth proportional to 422,594.57, 583,182.28 and 229,002.69 is: 316,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,594.57 : 583,182.28 = 229,002.69 : x
  2. Step 2: Convert to fraction form
    422,594.57/583,182.28 = 229,002.69/x
  3. Step 3: Cross multiply
    422,594.57x = 583,182.28 × 229,002.69
  4. Step 4: Simplify right side
    422,594.57x = 133,550,313,353.52
  5. Step 5: Solve for x
    x = 133,550,313,353.52/422,594.57
  6. Step 6: Final answer
    x = 316,024.68

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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.