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Finding the Fourth Proportional to 381,824.70, 572,737.05 and 195,200.70

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Solution

The fourth proportional to 381,824.70, 572,737.05 and 195,200.70 is: 292,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,824.70 : 572,737.05 = 195,200.70 : x
  2. Step 2: Convert to fraction form
    381,824.70/572,737.05 = 195,200.70/x
  3. Step 3: Cross multiply
    381,824.70x = 572,737.05 × 195,200.70
  4. Step 4: Simplify right side
    381,824.70x = 111,798,673,075.94
  5. Step 5: Solve for x
    x = 111,798,673,075.94/381,824.70
  6. Step 6: Final answer
    x = 292,801.05

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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.