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Finding the Fourth Proportional to 416,286.29, 574,476.77 and 225,299.63

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Solution

The fourth proportional to 416,286.29, 574,476.77 and 225,299.63 is: 310,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,286.29 : 574,476.77 = 225,299.63 : x
  2. Step 2: Convert to fraction form
    416,286.29/574,476.77 = 225,299.63/x
  3. Step 3: Cross multiply
    416,286.29x = 574,476.77 × 225,299.63
  4. Step 4: Simplify right side
    416,286.29x = 129,429,403,724.60
  5. Step 5: Solve for x
    x = 129,429,403,724.60/416,286.29
  6. Step 6: Final answer
    x = 310,914.40

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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.