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Finding the Fourth Proportional to 584,847.29, 877,380.48 and 185,380.80

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Solution

The fourth proportional to 584,847.29, 877,380.48 and 185,380.80 is: 278,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,847.29 : 877,380.48 = 185,380.80 : x
  2. Step 2: Convert to fraction form
    584,847.29/877,380.48 = 185,380.80/x
  3. Step 3: Cross multiply
    584,847.29x = 877,380.48 × 185,380.80
  4. Step 4: Simplify right side
    584,847.29x = 162,649,495,286.78
  5. Step 5: Solve for x
    x = 162,649,495,286.78/584,847.29
  6. Step 6: Final answer
    x = 278,105.93

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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.