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Finding the Fourth Proportional to 381,963.12, 570,140.94 and 353,814

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Solution

The fourth proportional to 381,963.12, 570,140.94 and 353,814 is: 528,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,963.12 : 570,140.94 = 353,814 : x
  2. Step 2: Convert to fraction form
    381,963.12/570,140.94 = 353,814/x
  3. Step 3: Cross multiply
    381,963.12x = 570,140.94 × 353,814
  4. Step 4: Simplify right side
    381,963.12x = 201,723,846,545.16
  5. Step 5: Solve for x
    x = 201,723,846,545.16/381,963.12
  6. Step 6: Final answer
    x = 528,123.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.