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Finding the Fourth Proportional to 416,530.42, 574,814.75 and 225,543.83

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Solution

The fourth proportional to 416,530.42, 574,814.75 and 225,543.83 is: 311,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,530.42 : 574,814.75 = 225,543.83 : x
  2. Step 2: Convert to fraction form
    416,530.42/574,814.75 = 225,543.83/x
  3. Step 3: Cross multiply
    416,530.42x = 574,814.75 × 225,543.83
  4. Step 4: Simplify right side
    416,530.42x = 129,645,916,253.70
  5. Step 5: Solve for x
    x = 129,645,916,253.70/416,530.42
  6. Step 6: Final answer
    x = 311,251.98

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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.