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Finding the Fourth Proportional to 475,540.71, 713,404.31 and 176,023.82

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Solution

The fourth proportional to 475,540.71, 713,404.31 and 176,023.82 is: 264,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,540.71 : 713,404.31 = 176,023.82 : x
  2. Step 2: Convert to fraction form
    475,540.71/713,404.31 = 176,023.82/x
  3. Step 3: Cross multiply
    475,540.71x = 713,404.31 × 176,023.82
  4. Step 4: Simplify right side
    475,540.71x = 125,576,151,850.66
  5. Step 5: Solve for x
    x = 125,576,151,850.66/475,540.71
  6. Step 6: Final answer
    x = 264,070.25

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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.