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Finding the Fourth Proportional to 416,582.12, 574,883.88 and 225,595.82

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Solution

The fourth proportional to 416,582.12, 574,883.88 and 225,595.82 is: 311,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,582.12 : 574,883.88 = 225,595.82 : x
  2. Step 2: Convert to fraction form
    416,582.12/574,883.88 = 225,595.82/x
  3. Step 3: Cross multiply
    416,582.12x = 574,883.88 × 225,595.82
  4. Step 4: Simplify right side
    416,582.12x = 129,691,400,313.38
  5. Step 5: Solve for x
    x = 129,691,400,313.38/416,582.12
  6. Step 6: Final answer
    x = 311,322.53

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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.