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Finding the Fourth Proportional to 416,187.52, 574,334.40 and 225,196.80

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Solution

The fourth proportional to 416,187.52, 574,334.40 and 225,196.80 is: 310,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,187.52 : 574,334.40 = 225,196.80 : x
  2. Step 2: Convert to fraction form
    416,187.52/574,334.40 = 225,196.80/x
  3. Step 3: Cross multiply
    416,187.52x = 574,334.40 × 225,196.80
  4. Step 4: Simplify right side
    416,187.52x = 129,338,269,009.92
  5. Step 5: Solve for x
    x = 129,338,269,009.92/416,187.52
  6. Step 6: Final answer
    x = 310,769.22

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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.