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Finding the Fourth Proportional to 417,701.42, 576,426.50 and 226,714.80

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Solution

The fourth proportional to 417,701.42, 576,426.50 and 226,714.80 is: 312,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.42 : 576,426.50 = 226,714.80 : x
  2. Step 2: Convert to fraction form
    417,701.42/576,426.50 = 226,714.80/x
  3. Step 3: Cross multiply
    417,701.42x = 576,426.50 × 226,714.80
  4. Step 4: Simplify right side
    417,701.42x = 130,684,418,662.20
  5. Step 5: Solve for x
    x = 130,684,418,662.20/417,701.42
  6. Step 6: Final answer
    x = 312,865.63

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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.