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Finding the Fourth Proportional to 312,280.38, 430,921.82 and 176,347.40

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Solution

The fourth proportional to 312,280.38, 430,921.82 and 176,347.40 is: 243,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,280.38 : 430,921.82 = 176,347.40 : x
  2. Step 2: Convert to fraction form
    312,280.38/430,921.82 = 176,347.40/x
  3. Step 3: Cross multiply
    312,280.38x = 430,921.82 × 176,347.40
  4. Step 4: Simplify right side
    312,280.38x = 75,991,940,846.53
  5. Step 5: Solve for x
    x = 75,991,940,846.53/312,280.38
  6. Step 6: Final answer
    x = 243,345.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.