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Finding the Fourth Proportional to 381,802.10, 572,703.15 and 204,217.70

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Solution

The fourth proportional to 381,802.10, 572,703.15 and 204,217.70 is: 306,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,802.10 : 572,703.15 = 204,217.70 : x
  2. Step 2: Convert to fraction form
    381,802.10/572,703.15 = 204,217.70/x
  3. Step 3: Cross multiply
    381,802.10x = 572,703.15 × 204,217.70
  4. Step 4: Simplify right side
    381,802.10x = 116,956,120,075.76
  5. Step 5: Solve for x
    x = 116,956,120,075.76/381,802.10
  6. Step 6: Final answer
    x = 306,326.55

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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.