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Finding the Fourth Proportional to 422,711.62, 583,349.16 and 229,125.46

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Solution

The fourth proportional to 422,711.62, 583,349.16 and 229,125.46 is: 316,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,711.62 : 583,349.16 = 229,125.46 : x
  2. Step 2: Convert to fraction form
    422,711.62/583,349.16 = 229,125.46/x
  3. Step 3: Cross multiply
    422,711.62x = 583,349.16 × 229,125.46
  4. Step 4: Simplify right side
    422,711.62x = 133,660,144,625.61
  5. Step 5: Solve for x
    x = 133,660,144,625.61/422,711.62
  6. Step 6: Final answer
    x = 316,197.00

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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.