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Finding the Fourth Proportional to 354,713.20, 532,069.80 and 333,977.20

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Solution

The fourth proportional to 354,713.20, 532,069.80 and 333,977.20 is: 500,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,713.20 : 532,069.80 = 333,977.20 : x
  2. Step 2: Convert to fraction form
    354,713.20/532,069.80 = 333,977.20/x
  3. Step 3: Cross multiply
    354,713.20x = 532,069.80 × 333,977.20
  4. Step 4: Simplify right side
    354,713.20x = 177,699,182,008.56
  5. Step 5: Solve for x
    x = 177,699,182,008.56/354,713.20
  6. Step 6: Final answer
    x = 500,965.80

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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.