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Finding the Fourth Proportional to 355,643.20, 533,464.80 and 329,723.20

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Solution

The fourth proportional to 355,643.20, 533,464.80 and 329,723.20 is: 494,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,643.20 : 533,464.80 = 329,723.20 : x
  2. Step 2: Convert to fraction form
    355,643.20/533,464.80 = 329,723.20/x
  3. Step 3: Cross multiply
    355,643.20x = 533,464.80 × 329,723.20
  4. Step 4: Simplify right side
    355,643.20x = 175,895,720,943.36
  5. Step 5: Solve for x
    x = 175,895,720,943.36/355,643.20
  6. Step 6: Final answer
    x = 494,584.80

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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.