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Finding the Fourth Proportional to 349,171.48, 523,986.90 and 191,510.65

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Solution

The fourth proportional to 349,171.48, 523,986.90 and 191,510.65 is: 287,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,171.48 : 523,986.90 = 191,510.65 : x
  2. Step 2: Convert to fraction form
    349,171.48/523,986.90 = 191,510.65/x
  3. Step 3: Cross multiply
    349,171.48x = 523,986.90 × 191,510.65
  4. Step 4: Simplify right side
    349,171.48x = 100,349,071,810.49
  5. Step 5: Solve for x
    x = 100,349,071,810.49/349,171.48
  6. Step 6: Final answer
    x = 287,391.95

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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.