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Finding the Fourth Proportional to 416,057.32, 624,516.72 and 256,248.37

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Solution

The fourth proportional to 416,057.32, 624,516.72 and 256,248.37 is: 384,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,057.32 : 624,516.72 = 256,248.37 : x
  2. Step 2: Convert to fraction form
    416,057.32/624,516.72 = 256,248.37/x
  3. Step 3: Cross multiply
    416,057.32x = 624,516.72 × 256,248.37
  4. Step 4: Simplify right side
    416,057.32x = 160,031,391,537.75
  5. Step 5: Solve for x
    x = 160,031,391,537.75/416,057.32
  6. Step 6: Final answer
    x = 384,637.85

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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.