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Finding the Fourth Proportional to 398,438.72, 549,829.38 and 217,146.80

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Solution

The fourth proportional to 398,438.72, 549,829.38 and 217,146.80 is: 299,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,438.72 : 549,829.38 = 217,146.80 : x
  2. Step 2: Convert to fraction form
    398,438.72/549,829.38 = 217,146.80/x
  3. Step 3: Cross multiply
    398,438.72x = 549,829.38 × 217,146.80
  4. Step 4: Simplify right side
    398,438.72x = 119,393,690,412.98
  5. Step 5: Solve for x
    x = 119,393,690,412.98/398,438.72
  6. Step 6: Final answer
    x = 299,653.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.