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Finding the Fourth Proportional to 412,543.30, 618,728.55 and 202,332.10

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Solution

The fourth proportional to 412,543.30, 618,728.55 and 202,332.10 is: 303,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,543.30 : 618,728.55 = 202,332.10 : x
  2. Step 2: Convert to fraction form
    412,543.30/618,728.55 = 202,332.10/x
  3. Step 3: Cross multiply
    412,543.30x = 618,728.55 × 202,332.10
  4. Step 4: Simplify right side
    412,543.30x = 125,188,646,851.46
  5. Step 5: Solve for x
    x = 125,188,646,851.46/412,543.30
  6. Step 6: Final answer
    x = 303,455.78

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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.