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Finding the Fourth Proportional to 416,758.58, 575,126.72 and 225,771.92

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Solution

The fourth proportional to 416,758.58, 575,126.72 and 225,771.92 is: 311,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,758.58 : 575,126.72 = 225,771.92 : x
  2. Step 2: Convert to fraction form
    416,758.58/575,126.72 = 225,771.92/x
  3. Step 3: Cross multiply
    416,758.58x = 575,126.72 × 225,771.92
  4. Step 4: Simplify right side
    416,758.58x = 129,847,459,813.21
  5. Step 5: Solve for x
    x = 129,847,459,813.21/416,758.58
  6. Step 6: Final answer
    x = 311,565.18

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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.