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Finding the Fourth Proportional to 416,854.65, 575,259.93 and 225,867.90

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Solution

The fourth proportional to 416,854.65, 575,259.93 and 225,867.90 is: 311,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,854.65 : 575,259.93 = 225,867.90 : x
  2. Step 2: Convert to fraction form
    416,854.65/575,259.93 = 225,867.90/x
  3. Step 3: Cross multiply
    416,854.65x = 575,259.93 × 225,867.90
  4. Step 4: Simplify right side
    416,854.65x = 129,932,752,343.25
  5. Step 5: Solve for x
    x = 129,932,752,343.25/416,854.65
  6. Step 6: Final answer
    x = 311,697.98

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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.