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Finding the Fourth Proportional to 475,508.73, 713,356.51 and 175,991.91

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Solution

The fourth proportional to 475,508.73, 713,356.51 and 175,991.91 is: 264,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,508.73 : 713,356.51 = 175,991.91 : x
  2. Step 2: Convert to fraction form
    475,508.73/713,356.51 = 175,991.91/x
  3. Step 3: Cross multiply
    475,508.73x = 713,356.51 × 175,991.91
  4. Step 4: Simplify right side
    475,508.73x = 125,544,972,034.61
  5. Step 5: Solve for x
    x = 125,544,972,034.61/475,508.73
  6. Step 6: Final answer
    x = 264,022.43

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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.