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Finding the Fourth Proportional to 417,275.41, 575,835 and 226,286.59

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Solution

The fourth proportional to 417,275.41, 575,835 and 226,286.59 is: 312,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,275.41 : 575,835 = 226,286.59 : x
  2. Step 2: Convert to fraction form
    417,275.41/575,835 = 226,286.59/x
  3. Step 3: Cross multiply
    417,275.41x = 575,835 × 226,286.59
  4. Step 4: Simplify right side
    417,275.41x = 130,303,738,552.65
  5. Step 5: Solve for x
    x = 130,303,738,552.65/417,275.41
  6. Step 6: Final answer
    x = 312,272.75

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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.