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Finding the Fourth Proportional to 517,454.82, 776,280.90 and 180,591.69

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Solution

The fourth proportional to 517,454.82, 776,280.90 and 180,591.69 is: 270,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,454.82 : 776,280.90 = 180,591.69 : x
  2. Step 2: Convert to fraction form
    517,454.82/776,280.90 = 180,591.69/x
  3. Step 3: Cross multiply
    517,454.82x = 776,280.90 × 180,591.69
  4. Step 4: Simplify right side
    517,454.82x = 140,189,879,645.72
  5. Step 5: Solve for x
    x = 140,189,879,645.72/517,454.82
  6. Step 6: Final answer
    x = 270,921.97

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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.