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Finding the Fourth Proportional to 417,024.57, 575,494.75 and 226,038.09

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Solution

The fourth proportional to 417,024.57, 575,494.75 and 226,038.09 is: 311,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,024.57 : 575,494.75 = 226,038.09 : x
  2. Step 2: Convert to fraction form
    417,024.57/575,494.75 = 226,038.09/x
  3. Step 3: Cross multiply
    417,024.57x = 575,494.75 × 226,038.09
  4. Step 4: Simplify right side
    417,024.57x = 130,083,734,095.03
  5. Step 5: Solve for x
    x = 130,083,734,095.03/417,024.57
  6. Step 6: Final answer
    x = 311,933.02

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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.