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Finding the Fourth Proportional to 422,707.59, 583,337.85 and 229,118.46

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Solution

The fourth proportional to 422,707.59, 583,337.85 and 229,118.46 is: 316,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,707.59 : 583,337.85 = 229,118.46 : x
  2. Step 2: Convert to fraction form
    422,707.59/583,337.85 = 229,118.46/x
  3. Step 3: Cross multiply
    422,707.59x = 583,337.85 × 229,118.46
  4. Step 4: Simplify right side
    422,707.59x = 133,653,469,851.71
  5. Step 5: Solve for x
    x = 133,653,469,851.71/422,707.59
  6. Step 6: Final answer
    x = 316,184.22

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1.5x scale

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.