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Finding the Fourth Proportional to 398,462.58, 549,862.41 and 217,170.72

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Solution

The fourth proportional to 398,462.58, 549,862.41 and 217,170.72 is: 299,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,462.58 : 549,862.41 = 217,170.72 : x
  2. Step 2: Convert to fraction form
    398,462.58/549,862.41 = 217,170.72/x
  3. Step 3: Cross multiply
    398,462.58x = 549,862.41 × 217,170.72
  4. Step 4: Simplify right side
    398,462.58x = 119,414,015,480.64
  5. Step 5: Solve for x
    x = 119,414,015,480.64/398,462.58
  6. Step 6: Final answer
    x = 299,686.90

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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.