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Finding the Fourth Proportional to 469,761.76, 704,617.53 and 166,134.88

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Solution

The fourth proportional to 469,761.76, 704,617.53 and 166,134.88 is: 249,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,761.76 : 704,617.53 = 166,134.88 : x
  2. Step 2: Convert to fraction form
    469,761.76/704,617.53 = 166,134.88/x
  3. Step 3: Cross multiply
    469,761.76x = 704,617.53 × 166,134.88
  4. Step 4: Simplify right side
    469,761.76x = 117,061,548,792.45
  5. Step 5: Solve for x
    x = 117,061,548,792.45/469,761.76
  6. Step 6: Final answer
    x = 249,193.44

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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.