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Finding the Fourth Proportional to 275,594.44, 413,309.50 and 107,140.92

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Solution

The fourth proportional to 275,594.44, 413,309.50 and 107,140.92 is: 160,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,594.44 : 413,309.50 = 107,140.92 : x
  2. Step 2: Convert to fraction form
    275,594.44/413,309.50 = 107,140.92/x
  3. Step 3: Cross multiply
    275,594.44x = 413,309.50 × 107,140.92
  4. Step 4: Simplify right side
    275,594.44x = 44,282,360,074.74
  5. Step 5: Solve for x
    x = 44,282,360,074.74/275,594.44
  6. Step 6: Final answer
    x = 160,679.44

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1.5x scale

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.