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Finding the Fourth Proportional to 613,738.18, 920,585.50 and 187,256.78

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Solution

The fourth proportional to 613,738.18, 920,585.50 and 187,256.78 is: 280,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,738.18 : 920,585.50 = 187,256.78 : x
  2. Step 2: Convert to fraction form
    613,738.18/920,585.50 = 187,256.78/x
  3. Step 3: Cross multiply
    613,738.18x = 920,585.50 × 187,256.78
  4. Step 4: Simplify right side
    613,738.18x = 172,385,876,444.69
  5. Step 5: Solve for x
    x = 172,385,876,444.69/613,738.18
  6. Step 6: Final answer
    x = 280,878.53

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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.