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Finding the Fourth Proportional to 417,189.07, 575,715.36 and 226,198.36

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Solution

The fourth proportional to 417,189.07, 575,715.36 and 226,198.36 is: 312,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,189.07 : 575,715.36 = 226,198.36 : x
  2. Step 2: Convert to fraction form
    417,189.07/575,715.36 = 226,198.36/x
  3. Step 3: Cross multiply
    417,189.07x = 575,715.36 × 226,198.36
  4. Step 4: Simplify right side
    417,189.07x = 130,225,870,258.81
  5. Step 5: Solve for x
    x = 130,225,870,258.81/417,189.07
  6. Step 6: Final answer
    x = 312,150.72

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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.