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Finding the Fourth Proportional to 381,876.80, 572,815.20 and 328,222.40

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Solution

The fourth proportional to 381,876.80, 572,815.20 and 328,222.40 is: 492,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,876.80 : 572,815.20 = 328,222.40 : x
  2. Step 2: Convert to fraction form
    381,876.80/572,815.20 = 328,222.40/x
  3. Step 3: Cross multiply
    381,876.80x = 572,815.20 × 328,222.40
  4. Step 4: Simplify right side
    381,876.80x = 188,010,779,700.48
  5. Step 5: Solve for x
    x = 188,010,779,700.48/381,876.80
  6. Step 6: Final answer
    x = 492,333.60

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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.