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Finding the Fourth Proportional to 416,057.82, 624,517.47 and 256,248.87

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Solution

The fourth proportional to 416,057.82, 624,517.47 and 256,248.87 is: 384,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,057.82 : 624,517.47 = 256,248.87 : x
  2. Step 2: Convert to fraction form
    416,057.82/624,517.47 = 256,248.87/x
  3. Step 3: Cross multiply
    416,057.82x = 624,517.47 × 256,248.87
  4. Step 4: Simplify right side
    416,057.82x = 160,031,895,982.76
  5. Step 5: Solve for x
    x = 160,031,895,982.76/416,057.82
  6. Step 6: Final answer
    x = 384,638.60

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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.