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Finding the Fourth Proportional to 475,201.46, 712,801.92 and 443,708.66

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Solution

The fourth proportional to 475,201.46, 712,801.92 and 443,708.66 is: 665,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,201.46 : 712,801.92 = 443,708.66 : x
  2. Step 2: Convert to fraction form
    475,201.46/712,801.92 = 443,708.66/x
  3. Step 3: Cross multiply
    475,201.46x = 712,801.92 × 443,708.66
  4. Step 4: Simplify right side
    475,201.46x = 316,276,384,768.63
  5. Step 5: Solve for x
    x = 316,276,384,768.63/475,201.46
  6. Step 6: Final answer
    x = 665,562.74

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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.