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Finding the Fourth Proportional to 460,886.46, 691,329.70 and 145,367.97

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Solution

The fourth proportional to 460,886.46, 691,329.70 and 145,367.97 is: 218,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,886.46 : 691,329.70 = 145,367.97 : x
  2. Step 2: Convert to fraction form
    460,886.46/691,329.70 = 145,367.97/x
  3. Step 3: Cross multiply
    460,886.46x = 691,329.70 × 145,367.97
  4. Step 4: Simplify right side
    460,886.46x = 100,497,192,678.93
  5. Step 5: Solve for x
    x = 100,497,192,678.93/460,886.46
  6. Step 6: Final answer
    x = 218,051.95

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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.