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Finding the Fourth Proportional to 416,064.30, 574,167.49 and 225,077.64

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Solution

The fourth proportional to 416,064.30, 574,167.49 and 225,077.64 is: 310,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,064.30 : 574,167.49 = 225,077.64 : x
  2. Step 2: Convert to fraction form
    416,064.30/574,167.49 = 225,077.64/x
  3. Step 3: Cross multiply
    416,064.30x = 574,167.49 × 225,077.64
  4. Step 4: Simplify right side
    416,064.30x = 129,232,260,898.10
  5. Step 5: Solve for x
    x = 129,232,260,898.10/416,064.30
  6. Step 6: Final answer
    x = 310,606.47

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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.