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Finding the Fourth Proportional to 549,228.75, 757,947.20 and 310,764.75

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Solution

The fourth proportional to 549,228.75, 757,947.20 and 310,764.75 is: 428,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,228.75 : 757,947.20 = 310,764.75 : x
  2. Step 2: Convert to fraction form
    549,228.75/757,947.20 = 310,764.75/x
  3. Step 3: Cross multiply
    549,228.75x = 757,947.20 × 310,764.75
  4. Step 4: Simplify right side
    549,228.75x = 235,543,270,567.38
  5. Step 5: Solve for x
    x = 235,543,270,567.38/549,228.75
  6. Step 6: Final answer
    x = 428,861.87

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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.