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Finding the Fourth Proportional to 549,110.40, 823,665.60 and 194,121.60

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Solution

The fourth proportional to 549,110.40, 823,665.60 and 194,121.60 is: 291,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,110.40 : 823,665.60 = 194,121.60 : x
  2. Step 2: Convert to fraction form
    549,110.40/823,665.60 = 194,121.60/x
  3. Step 3: Cross multiply
    549,110.40x = 823,665.60 × 194,121.60
  4. Step 4: Simplify right side
    549,110.40x = 159,891,284,136.96
  5. Step 5: Solve for x
    x = 159,891,284,136.96/549,110.40
  6. Step 6: Final answer
    x = 291,182.40

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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.