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Finding the Fourth Proportional to 431,156.80, 646,735.20 and 164,780.20

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Solution

The fourth proportional to 431,156.80, 646,735.20 and 164,780.20 is: 247,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,156.80 : 646,735.20 = 164,780.20 : x
  2. Step 2: Convert to fraction form
    431,156.80/646,735.20 = 164,780.20/x
  3. Step 3: Cross multiply
    431,156.80x = 646,735.20 × 164,780.20
  4. Step 4: Simplify right side
    431,156.80x = 106,569,155,603.04
  5. Step 5: Solve for x
    x = 106,569,155,603.04/431,156.80
  6. Step 6: Final answer
    x = 247,170.30

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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.