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Finding the Fourth Proportional to 416,281.74, 624,426.24 and 100,738.92

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Solution

The fourth proportional to 416,281.74, 624,426.24 and 100,738.92 is: 151,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,281.74 : 624,426.24 = 100,738.92 : x
  2. Step 2: Convert to fraction form
    416,281.74/624,426.24 = 100,738.92/x
  3. Step 3: Cross multiply
    416,281.74x = 624,426.24 × 100,738.92
  4. Step 4: Simplify right side
    416,281.74x = 62,904,025,037.26
  5. Step 5: Solve for x
    x = 62,904,025,037.26/416,281.74
  6. Step 6: Final answer
    x = 151,109.26

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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.