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Finding the Fourth Proportional to 549,328.75, 823,998.26 and 194,402.95

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Solution

The fourth proportional to 549,328.75, 823,998.26 and 194,402.95 is: 291,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,328.75 : 823,998.26 = 194,402.95 : x
  2. Step 2: Convert to fraction form
    549,328.75/823,998.26 = 194,402.95/x
  3. Step 3: Cross multiply
    549,328.75x = 823,998.26 × 194,402.95
  4. Step 4: Simplify right side
    549,328.75x = 160,187,691,566.85
  5. Step 5: Solve for x
    x = 160,187,691,566.85/549,328.75
  6. Step 6: Final answer
    x = 291,606.24

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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.