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Finding the Fourth Proportional to 417,495.14, 576,144.34 and 226,508.48

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Solution

The fourth proportional to 417,495.14, 576,144.34 and 226,508.48 is: 312,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,495.14 : 576,144.34 = 226,508.48 : x
  2. Step 2: Convert to fraction form
    417,495.14/576,144.34 = 226,508.48/x
  3. Step 3: Cross multiply
    417,495.14x = 576,144.34 × 226,508.48
  4. Step 4: Simplify right side
    417,495.14x = 130,501,578,714.00
  5. Step 5: Solve for x
    x = 130,501,578,714.00/417,495.14
  6. Step 6: Final answer
    x = 312,582.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.