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Finding the Fourth Proportional to 416,404.18, 574,639.60 and 225,417.57

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Solution

The fourth proportional to 416,404.18, 574,639.60 and 225,417.57 is: 311,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,404.18 : 574,639.60 = 225,417.57 : x
  2. Step 2: Convert to fraction form
    416,404.18/574,639.60 = 225,417.57/x
  3. Step 3: Cross multiply
    416,404.18x = 574,639.60 × 225,417.57
  4. Step 4: Simplify right side
    416,404.18x = 129,533,858,257.49
  5. Step 5: Solve for x
    x = 129,533,858,257.49/416,404.18
  6. Step 6: Final answer
    x = 311,077.23

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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.