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Finding the Fourth Proportional to 417,225.16, 575,769.24 and 226,238.08

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Solution

The fourth proportional to 417,225.16, 575,769.24 and 226,238.08 is: 312,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,225.16 : 575,769.24 = 226,238.08 : x
  2. Step 2: Convert to fraction form
    417,225.16/575,769.24 = 226,238.08/x
  3. Step 3: Cross multiply
    417,225.16x = 575,769.24 × 226,238.08
  4. Step 4: Simplify right side
    417,225.16x = 130,260,927,380.66
  5. Step 5: Solve for x
    x = 130,260,927,380.66/417,225.16
  6. Step 6: Final answer
    x = 312,207.75

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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.