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Finding the Fourth Proportional to 475,891.52, 713,616.12 and 176,360

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Solution

The fourth proportional to 475,891.52, 713,616.12 and 176,360 is: 264,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,891.52 : 713,616.12 = 176,360 : x
  2. Step 2: Convert to fraction form
    475,891.52/713,616.12 = 176,360/x
  3. Step 3: Cross multiply
    475,891.52x = 713,616.12 × 176,360
  4. Step 4: Simplify right side
    475,891.52x = 125,853,338,923.20
  5. Step 5: Solve for x
    x = 125,853,338,923.20/475,891.52
  6. Step 6: Final answer
    x = 264,458.04

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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.