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Finding the Fourth Proportional to 312,144.40, 430,760.78 and 176,184.10

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Solution

The fourth proportional to 312,144.40, 430,760.78 and 176,184.10 is: 243,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,144.40 : 430,760.78 = 176,184.10 : x
  2. Step 2: Convert to fraction form
    312,144.40/430,760.78 = 176,184.10/x
  3. Step 3: Cross multiply
    312,144.40x = 430,760.78 × 176,184.10
  4. Step 4: Simplify right side
    312,144.40x = 75,893,200,339.60
  5. Step 5: Solve for x
    x = 75,893,200,339.60/312,144.40
  6. Step 6: Final answer
    x = 243,134.91

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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.