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Finding the Fourth Proportional to 274,829.47, 412,470.29 and 117,235.87

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Solution

The fourth proportional to 274,829.47, 412,470.29 and 117,235.87 is: 175,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,829.47 : 412,470.29 = 117,235.87 : x
  2. Step 2: Convert to fraction form
    274,829.47/412,470.29 = 117,235.87/x
  3. Step 3: Cross multiply
    274,829.47x = 412,470.29 × 117,235.87
  4. Step 4: Simplify right side
    274,829.47x = 48,356,313,297.30
  5. Step 5: Solve for x
    x = 48,356,313,297.30/274,829.47
  6. Step 6: Final answer
    x = 175,950.25

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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.