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Finding the Fourth Proportional to 416,739.42, 575,099.88 and 225,753.60

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Solution

The fourth proportional to 416,739.42, 575,099.88 and 225,753.60 is: 311,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,739.42 : 575,099.88 = 225,753.60 : x
  2. Step 2: Convert to fraction form
    416,739.42/575,099.88 = 225,753.60/x
  3. Step 3: Cross multiply
    416,739.42x = 575,099.88 × 225,753.60
  4. Step 4: Simplify right side
    416,739.42x = 129,830,868,269.57
  5. Step 5: Solve for x
    x = 129,830,868,269.57/416,739.42
  6. Step 6: Final answer
    x = 311,539.69

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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.