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Finding the Fourth Proportional to 475,301.66, 712,917.86 and 175,642.56

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Solution

The fourth proportional to 475,301.66, 712,917.86 and 175,642.56 is: 263,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,301.66 : 712,917.86 = 175,642.56 : x
  2. Step 2: Convert to fraction form
    475,301.66/712,917.86 = 175,642.56/x
  3. Step 3: Cross multiply
    475,301.66x = 712,917.86 × 175,642.56
  4. Step 4: Simplify right side
    475,301.66x = 125,218,717,121.91
  5. Step 5: Solve for x
    x = 125,218,717,121.91/475,301.66
  6. Step 6: Final answer
    x = 263,451.04

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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.