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Finding the Fourth Proportional to 417,714.41, 576,446.42 and 226,727.75

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Solution

The fourth proportional to 417,714.41, 576,446.42 and 226,727.75 is: 312,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,714.41 : 576,446.42 = 226,727.75 : x
  2. Step 2: Convert to fraction form
    417,714.41/576,446.42 = 226,727.75/x
  3. Step 3: Cross multiply
    417,714.41x = 576,446.42 × 226,727.75
  4. Step 4: Simplify right side
    417,714.41x = 130,696,399,802.16
  5. Step 5: Solve for x
    x = 130,696,399,802.16/417,714.41
  6. Step 6: Final answer
    x = 312,884.58

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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.