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Finding the Fourth Proportional to 437,994.88, 656,140.19 and 287,778.76

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Solution

The fourth proportional to 437,994.88, 656,140.19 and 287,778.76 is: 431,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,994.88 : 656,140.19 = 287,778.76 : x
  2. Step 2: Convert to fraction form
    437,994.88/656,140.19 = 287,778.76/x
  3. Step 3: Cross multiply
    437,994.88x = 656,140.19 × 287,778.76
  4. Step 4: Simplify right side
    437,994.88x = 188,823,205,544.77
  5. Step 5: Solve for x
    x = 188,823,205,544.77/437,994.88
  6. Step 6: Final answer
    x = 431,108.25

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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.