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Finding the Fourth Proportional to 549,105.40, 823,658.10 and 194,116.60

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Solution

The fourth proportional to 549,105.40, 823,658.10 and 194,116.60 is: 291,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,105.40 : 823,658.10 = 194,116.60 : x
  2. Step 2: Convert to fraction form
    549,105.40/823,658.10 = 194,116.60/x
  3. Step 3: Cross multiply
    549,105.40x = 823,658.10 × 194,116.60
  4. Step 4: Simplify right side
    549,105.40x = 159,885,709,934.46
  5. Step 5: Solve for x
    x = 159,885,709,934.46/549,105.40
  6. Step 6: Final answer
    x = 291,174.90

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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.