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Finding the Fourth Proportional to 315,034.80, 472,552.20 and 115,288.80

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Solution

The fourth proportional to 315,034.80, 472,552.20 and 115,288.80 is: 172,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,034.80 : 472,552.20 = 115,288.80 : x
  2. Step 2: Convert to fraction form
    315,034.80/472,552.20 = 115,288.80/x
  3. Step 3: Cross multiply
    315,034.80x = 472,552.20 × 115,288.80
  4. Step 4: Simplify right side
    315,034.80x = 54,479,976,075.36
  5. Step 5: Solve for x
    x = 54,479,976,075.36/315,034.80
  6. Step 6: Final answer
    x = 172,933.20

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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.