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Finding the Fourth Proportional to 354,907.20, 532,360.80 and 242,932.80

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Solution

The fourth proportional to 354,907.20, 532,360.80 and 242,932.80 is: 364,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,907.20 : 532,360.80 = 242,932.80 : x
  2. Step 2: Convert to fraction form
    354,907.20/532,360.80 = 242,932.80/x
  3. Step 3: Cross multiply
    354,907.20x = 532,360.80 × 242,932.80
  4. Step 4: Simplify right side
    354,907.20x = 129,327,899,754.24
  5. Step 5: Solve for x
    x = 129,327,899,754.24/354,907.20
  6. Step 6: Final answer
    x = 364,399.20

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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.