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Finding the Fourth Proportional to 510,645.44, 766,318.08 and 178,221.44

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Solution

The fourth proportional to 510,645.44, 766,318.08 and 178,221.44 is: 267,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,645.44 : 766,318.08 = 178,221.44 : x
  2. Step 2: Convert to fraction form
    510,645.44/766,318.08 = 178,221.44/x
  3. Step 3: Cross multiply
    510,645.44x = 766,318.08 × 178,221.44
  4. Step 4: Simplify right side
    510,645.44x = 136,574,311,715.64
  5. Step 5: Solve for x
    x = 136,574,311,715.64/510,645.44
  6. Step 6: Final answer
    x = 267,454.29

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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.