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Finding the Fourth Proportional to 398,020.32, 549,260.19 and 216,734.43

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Solution

The fourth proportional to 398,020.32, 549,260.19 and 216,734.43 is: 299,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,020.32 : 549,260.19 = 216,734.43 : x
  2. Step 2: Convert to fraction form
    398,020.32/549,260.19 = 216,734.43/x
  3. Step 3: Cross multiply
    398,020.32x = 549,260.19 × 216,734.43
  4. Step 4: Simplify right side
    398,020.32x = 119,043,594,201.34
  5. Step 5: Solve for x
    x = 119,043,594,201.34/398,020.32
  6. Step 6: Final answer
    x = 299,089.24

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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.