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Finding the Fourth Proportional to 416,462.08, 574,718 and 225,475.60

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Solution

The fourth proportional to 416,462.08, 574,718 and 225,475.60 is: 311,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,462.08 : 574,718 = 225,475.60 : x
  2. Step 2: Convert to fraction form
    416,462.08/574,718 = 225,475.60/x
  3. Step 3: Cross multiply
    416,462.08x = 574,718 × 225,475.60
  4. Step 4: Simplify right side
    416,462.08x = 129,584,885,880.80
  5. Step 5: Solve for x
    x = 129,584,885,880.80/416,462.08
  6. Step 6: Final answer
    x = 311,156.51

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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.