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Finding the Fourth Proportional to 310,452.40, 465,289 and 132,750.48

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Solution

The fourth proportional to 310,452.40, 465,289 and 132,750.48 is: 198,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,452.40 : 465,289 = 132,750.48 : x
  2. Step 2: Convert to fraction form
    310,452.40/465,289 = 132,750.48/x
  3. Step 3: Cross multiply
    310,452.40x = 465,289 × 132,750.48
  4. Step 4: Simplify right side
    310,452.40x = 61,767,338,088.72
  5. Step 5: Solve for x
    x = 61,767,338,088.72/310,452.40
  6. Step 6: Final answer
    x = 198,959.13

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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.