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Finding the Fourth Proportional to 381,853.80, 572,780.70 and 328,199.40

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Solution

The fourth proportional to 381,853.80, 572,780.70 and 328,199.40 is: 492,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,853.80 : 572,780.70 = 328,199.40 : x
  2. Step 2: Convert to fraction form
    381,853.80/572,780.70 = 328,199.40/x
  3. Step 3: Cross multiply
    381,853.80x = 572,780.70 × 328,199.40
  4. Step 4: Simplify right side
    381,853.80x = 187,986,282,071.58
  5. Step 5: Solve for x
    x = 187,986,282,071.58/381,853.80
  6. Step 6: Final answer
    x = 492,299.10

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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.