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Finding the Fourth Proportional to 416,794.52, 575,177.30 and 225,807.90

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Solution

The fourth proportional to 416,794.52, 575,177.30 and 225,807.90 is: 311,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,794.52 : 575,177.30 = 225,807.90 : x
  2. Step 2: Convert to fraction form
    416,794.52/575,177.30 = 225,807.90/x
  3. Step 3: Cross multiply
    416,794.52x = 575,177.30 × 225,807.90
  4. Step 4: Simplify right side
    416,794.52x = 129,879,578,240.67
  5. Step 5: Solve for x
    x = 129,879,578,240.67/416,794.52
  6. Step 6: Final answer
    x = 311,615.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.