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Finding the Fourth Proportional to 416,421.08, 574,662.38 and 225,434.02

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Solution

The fourth proportional to 416,421.08, 574,662.38 and 225,434.02 is: 311,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,421.08 : 574,662.38 = 225,434.02 : x
  2. Step 2: Convert to fraction form
    416,421.08/574,662.38 = 225,434.02/x
  3. Step 3: Cross multiply
    416,421.08x = 574,662.38 × 225,434.02
  4. Step 4: Simplify right side
    416,421.08x = 129,548,450,466.17
  5. Step 5: Solve for x
    x = 129,548,450,466.17/416,421.08
  6. Step 6: Final answer
    x = 311,099.65

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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.