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Finding the Fourth Proportional to 310,452.38, 465,289.01 and 132,750.43

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Solution

The fourth proportional to 310,452.38, 465,289.01 and 132,750.43 is: 198,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,452.38 : 465,289.01 = 132,750.43 : x
  2. Step 2: Convert to fraction form
    310,452.38/465,289.01 = 132,750.43/x
  3. Step 3: Cross multiply
    310,452.38x = 465,289.01 × 132,750.43
  4. Step 4: Simplify right side
    310,452.38x = 61,767,316,483.65
  5. Step 5: Solve for x
    x = 61,767,316,483.65/310,452.38
  6. Step 6: Final answer
    x = 198,959.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.