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Finding the Fourth Proportional to 462,081.51, 692,825.65 and 192,396.47

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Solution

The fourth proportional to 462,081.51, 692,825.65 and 192,396.47 is: 288,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,081.51 : 692,825.65 = 192,396.47 : x
  2. Step 2: Convert to fraction form
    462,081.51/692,825.65 = 192,396.47/x
  3. Step 3: Cross multiply
    462,081.51x = 692,825.65 × 192,396.47
  4. Step 4: Simplify right side
    462,081.51x = 133,297,206,522.57
  5. Step 5: Solve for x
    x = 133,297,206,522.57/462,081.51
  6. Step 6: Final answer
    x = 288,471.20

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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.