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Finding the Fourth Proportional to 416,416.38, 574,654.77 and 225,429.75

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Solution

The fourth proportional to 416,416.38, 574,654.77 and 225,429.75 is: 311,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,416.38 : 574,654.77 = 225,429.75 : x
  2. Step 2: Convert to fraction form
    416,416.38/574,654.77 = 225,429.75/x
  3. Step 3: Cross multiply
    416,416.38x = 574,654.77 × 225,429.75
  4. Step 4: Simplify right side
    416,416.38x = 129,544,281,137.41
  5. Step 5: Solve for x
    x = 129,544,281,137.41/416,416.38
  6. Step 6: Final answer
    x = 311,093.14

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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.