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Finding the Fourth Proportional to 416,148.90, 574,287.46 and 234,868.48

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Solution

The fourth proportional to 416,148.90, 574,287.46 and 234,868.48 is: 324,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,148.90 : 574,287.46 = 234,868.48 : x
  2. Step 2: Convert to fraction form
    416,148.90/574,287.46 = 234,868.48/x
  3. Step 3: Cross multiply
    416,148.90x = 574,287.46 × 234,868.48
  4. Step 4: Simplify right side
    416,148.90x = 134,882,022,813.26
  5. Step 5: Solve for x
    x = 134,882,022,813.26/416,148.90
  6. Step 6: Final answer
    x = 324,119.62

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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.