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Finding the Fourth Proportional to 417,705.31, 576,417.89 and 226,714.63

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Solution

The fourth proportional to 417,705.31, 576,417.89 and 226,714.63 is: 312,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,705.31 : 576,417.89 = 226,714.63 : x
  2. Step 2: Convert to fraction form
    417,705.31/576,417.89 = 226,714.63/x
  3. Step 3: Cross multiply
    417,705.31x = 576,417.89 × 226,714.63
  4. Step 4: Simplify right side
    417,705.31x = 130,682,367,523.16
  5. Step 5: Solve for x
    x = 130,682,367,523.16/417,705.31
  6. Step 6: Final answer
    x = 312,857.81

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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.