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Finding the Fourth Proportional to 416,422.15, 574,662.76 and 225,435.54

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Solution

The fourth proportional to 416,422.15, 574,662.76 and 225,435.54 is: 311,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,422.15 : 574,662.76 = 225,435.54 : x
  2. Step 2: Convert to fraction form
    416,422.15/574,662.76 = 225,435.54/x
  3. Step 3: Cross multiply
    416,422.15x = 574,662.76 × 225,435.54
  4. Step 4: Simplify right side
    416,422.15x = 129,549,411,986.86
  5. Step 5: Solve for x
    x = 129,549,411,986.86/416,422.15
  6. Step 6: Final answer
    x = 311,101.15

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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.