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Finding the Fourth Proportional to 409,552.78, 565,211.20 and 248,414.62

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Solution

The fourth proportional to 409,552.78, 565,211.20 and 248,414.62 is: 342,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,552.78 : 565,211.20 = 248,414.62 : x
  2. Step 2: Convert to fraction form
    409,552.78/565,211.20 = 248,414.62/x
  3. Step 3: Cross multiply
    409,552.78x = 565,211.20 × 248,414.62
  4. Step 4: Simplify right side
    409,552.78x = 140,406,725,467.74
  5. Step 5: Solve for x
    x = 140,406,725,467.74/409,552.78
  6. Step 6: Final answer
    x = 342,829.38

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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.