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Finding the Fourth Proportional to 417,449.52, 576,080.18 and 226,462.91

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Solution

The fourth proportional to 417,449.52, 576,080.18 and 226,462.91 is: 312,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,449.52 : 576,080.18 = 226,462.91 : x
  2. Step 2: Convert to fraction form
    417,449.52/576,080.18 = 226,462.91/x
  3. Step 3: Cross multiply
    417,449.52x = 576,080.18 × 226,462.91
  4. Step 4: Simplify right side
    417,449.52x = 130,460,796,193.40
  5. Step 5: Solve for x
    x = 130,460,796,193.40/417,449.52
  6. Step 6: Final answer
    x = 312,518.73

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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.