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Finding the Fourth Proportional to 399,778.04, 551,640.38 and 256,731.84

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Solution

The fourth proportional to 399,778.04, 551,640.38 and 256,731.84 is: 354,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,778.04 : 551,640.38 = 256,731.84 : x
  2. Step 2: Convert to fraction form
    399,778.04/551,640.38 = 256,731.84/x
  3. Step 3: Cross multiply
    399,778.04x = 551,640.38 × 256,731.84
  4. Step 4: Simplify right side
    399,778.04x = 141,623,649,775.70
  5. Step 5: Solve for x
    x = 141,623,649,775.70/399,778.04
  6. Step 6: Final answer
    x = 354,255.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.