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Finding the Fourth Proportional to 269,543.20, 403,731.60 and 175,064.80

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Solution

The fourth proportional to 269,543.20, 403,731.60 and 175,064.80 is: 262,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,543.20 : 403,731.60 = 175,064.80 : x
  2. Step 2: Convert to fraction form
    269,543.20/403,731.60 = 175,064.80/x
  3. Step 3: Cross multiply
    269,543.20x = 403,731.60 × 175,064.80
  4. Step 4: Simplify right side
    269,543.20x = 70,679,191,807.68
  5. Step 5: Solve for x
    x = 70,679,191,807.68/269,543.20
  6. Step 6: Final answer
    x = 262,218.42

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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.