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Finding the Fourth Proportional to 549,411.96, 823,948.38 and 194,344.32

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Solution

The fourth proportional to 549,411.96, 823,948.38 and 194,344.32 is: 291,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,411.96 : 823,948.38 = 194,344.32 : x
  2. Step 2: Convert to fraction form
    549,411.96/823,948.38 = 194,344.32/x
  3. Step 3: Cross multiply
    549,411.96x = 823,948.38 × 194,344.32
  4. Step 4: Simplify right side
    549,411.96x = 160,129,687,626.20
  5. Step 5: Solve for x
    x = 160,129,687,626.20/549,411.96
  6. Step 6: Final answer
    x = 291,456.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.