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Finding the Fourth Proportional to 549,098.80, 823,648.20 and 194,148.70

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Solution

The fourth proportional to 549,098.80, 823,648.20 and 194,148.70 is: 291,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,098.80 : 823,648.20 = 194,148.70 : x
  2. Step 2: Convert to fraction form
    549,098.80/823,648.20 = 194,148.70/x
  3. Step 3: Cross multiply
    549,098.80x = 823,648.20 × 194,148.70
  4. Step 4: Simplify right side
    549,098.80x = 159,910,227,287.34
  5. Step 5: Solve for x
    x = 159,910,227,287.34/549,098.80
  6. Step 6: Final answer
    x = 291,223.05

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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.