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Finding the Fourth Proportional to 296,397.46, 444,595.53 and 229,027.46

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Solution

The fourth proportional to 296,397.46, 444,595.53 and 229,027.46 is: 343,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,397.46 : 444,595.53 = 229,027.46 : x
  2. Step 2: Convert to fraction form
    296,397.46/444,595.53 = 229,027.46/x
  3. Step 3: Cross multiply
    296,397.46x = 444,595.53 × 229,027.46
  4. Step 4: Simplify right side
    296,397.46x = 101,824,584,929.61
  5. Step 5: Solve for x
    x = 101,824,584,929.61/296,397.46
  6. Step 6: Final answer
    x = 343,540.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.