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Finding the Fourth Proportional to 398,126.13, 549,414.05 and 219,278.13

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Solution

The fourth proportional to 398,126.13, 549,414.05 and 219,278.13 is: 302,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,126.13 : 549,414.05 = 219,278.13 : x
  2. Step 2: Convert to fraction form
    398,126.13/549,414.05 = 219,278.13/x
  3. Step 3: Cross multiply
    398,126.13x = 549,414.05 × 219,278.13
  4. Step 4: Simplify right side
    398,126.13x = 120,474,485,479.73
  5. Step 5: Solve for x
    x = 120,474,485,479.73/398,126.13
  6. Step 6: Final answer
    x = 302,603.81

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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.