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Finding the Fourth Proportional to 310,465.17, 465,308.17 and 132,763.21

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Solution

The fourth proportional to 310,465.17, 465,308.17 and 132,763.21 is: 198,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,465.17 : 465,308.17 = 132,763.21 : x
  2. Step 2: Convert to fraction form
    310,465.17/465,308.17 = 132,763.21/x
  3. Step 3: Cross multiply
    310,465.17x = 465,308.17 × 132,763.21
  4. Step 4: Simplify right side
    310,465.17x = 61,775,804,793.25
  5. Step 5: Solve for x
    x = 61,775,804,793.25/310,465.17
  6. Step 6: Final answer
    x = 198,978.21

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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.