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Finding the Fourth Proportional to 398,108.20, 549,381.09 and 216,823.31

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Solution

The fourth proportional to 398,108.20, 549,381.09 and 216,823.31 is: 299,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,108.20 : 549,381.09 = 216,823.31 : x
  2. Step 2: Convert to fraction form
    398,108.20/549,381.09 = 216,823.31/x
  3. Step 3: Cross multiply
    398,108.20x = 549,381.09 × 216,823.31
  4. Step 4: Simplify right side
    398,108.20x = 119,118,626,385.21
  5. Step 5: Solve for x
    x = 119,118,626,385.21/398,108.20
  6. Step 6: Final answer
    x = 299,211.69

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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.