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Finding the Fourth Proportional to 423,273.38, 635,117.65 and 198,652.07

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Solution

The fourth proportional to 423,273.38, 635,117.65 and 198,652.07 is: 298,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,273.38 : 635,117.65 = 198,652.07 : x
  2. Step 2: Convert to fraction form
    423,273.38/635,117.65 = 198,652.07/x
  3. Step 3: Cross multiply
    423,273.38x = 635,117.65 × 198,652.07
  4. Step 4: Simplify right side
    423,273.38x = 126,167,436,957.20
  5. Step 5: Solve for x
    x = 126,167,436,957.20/423,273.38
  6. Step 6: Final answer
    x = 298,075.53

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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.