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Finding the Fourth Proportional to 278,077.40, 417,116.10 and 173,101.40

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Solution

The fourth proportional to 278,077.40, 417,116.10 and 173,101.40 is: 259,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,077.40 : 417,116.10 = 173,101.40 : x
  2. Step 2: Convert to fraction form
    278,077.40/417,116.10 = 173,101.40/x
  3. Step 3: Cross multiply
    278,077.40x = 417,116.10 × 173,101.40
  4. Step 4: Simplify right side
    278,077.40x = 72,203,380,872.54
  5. Step 5: Solve for x
    x = 72,203,380,872.54/278,077.40
  6. Step 6: Final answer
    x = 259,652.10

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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.