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Finding the Fourth Proportional to 549,138.48, 823,730.76 and 194,155.44

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Solution

The fourth proportional to 549,138.48, 823,730.76 and 194,155.44 is: 291,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,138.48 : 823,730.76 = 194,155.44 : x
  2. Step 2: Convert to fraction form
    549,138.48/823,730.76 = 194,155.44/x
  3. Step 3: Cross multiply
    549,138.48x = 823,730.76 × 194,155.44
  4. Step 4: Simplify right side
    549,138.48x = 159,931,808,149.33
  5. Step 5: Solve for x
    x = 159,931,808,149.33/549,138.48
  6. Step 6: Final answer
    x = 291,241.31

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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.