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Finding the Fourth Proportional to 312,438.20, 431,143.80 and 176,477.96

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Solution

The fourth proportional to 312,438.20, 431,143.80 and 176,477.96 is: 243,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,438.20 : 431,143.80 = 176,477.96 : x
  2. Step 2: Convert to fraction form
    312,438.20/431,143.80 = 176,477.96/x
  3. Step 3: Cross multiply
    312,438.20x = 431,143.80 × 176,477.96
  4. Step 4: Simplify right side
    312,438.20x = 76,087,378,290.65
  5. Step 5: Solve for x
    x = 76,087,378,290.65/312,438.20
  6. Step 6: Final answer
    x = 243,527.77

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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.