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Finding the Fourth Proportional to 416,726.76, 624,179.70 and 256,314.36

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Solution

The fourth proportional to 416,726.76, 624,179.70 and 256,314.36 is: 383,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,726.76 : 624,179.70 = 256,314.36 : x
  2. Step 2: Convert to fraction form
    416,726.76/624,179.70 = 256,314.36/x
  3. Step 3: Cross multiply
    416,726.76x = 624,179.70 × 256,314.36
  4. Step 4: Simplify right side
    416,726.76x = 159,986,220,330.49
  5. Step 5: Solve for x
    x = 159,986,220,330.49/416,726.76
  6. Step 6: Final answer
    x = 383,911.56

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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.