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Finding the Fourth Proportional to 420,113.43, 579,749.49 and 229,115.43

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Solution

The fourth proportional to 420,113.43, 579,749.49 and 229,115.43 is: 316,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,113.43 : 579,749.49 = 229,115.43 : x
  2. Step 2: Convert to fraction form
    420,113.43/579,749.49 = 229,115.43/x
  3. Step 3: Cross multiply
    420,113.43x = 579,749.49 × 229,115.43
  4. Step 4: Simplify right side
    420,113.43x = 132,829,553,693.63
  5. Step 5: Solve for x
    x = 132,829,553,693.63/420,113.43
  6. Step 6: Final answer
    x = 316,175.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.