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Finding the Fourth Proportional to 420,102.46, 579,734.34 and 229,104.46

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Solution

The fourth proportional to 420,102.46, 579,734.34 and 229,104.46 is: 316,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,102.46 : 579,734.34 = 229,104.46 : x
  2. Step 2: Convert to fraction form
    420,102.46/579,734.34 = 229,104.46/x
  3. Step 3: Cross multiply
    420,102.46x = 579,734.34 × 229,104.46
  4. Step 4: Simplify right side
    420,102.46x = 132,819,722,909.16
  5. Step 5: Solve for x
    x = 132,819,722,909.16/420,102.46
  6. Step 6: Final answer
    x = 316,160.31

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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.