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Finding the Fourth Proportional to 381,854.80, 572,782.20 and 328,200.40

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Solution

The fourth proportional to 381,854.80, 572,782.20 and 328,200.40 is: 492,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,854.80 : 572,782.20 = 328,200.40 : x
  2. Step 2: Convert to fraction form
    381,854.80/572,782.20 = 328,200.40/x
  3. Step 3: Cross multiply
    381,854.80x = 572,782.20 × 328,200.40
  4. Step 4: Simplify right side
    381,854.80x = 187,987,347,152.88
  5. Step 5: Solve for x
    x = 187,987,347,152.88/381,854.80
  6. Step 6: Final answer
    x = 492,300.60

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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.