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Finding the Fourth Proportional to 462,389, 693,583.50 and 112,181

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Solution

The fourth proportional to 462,389, 693,583.50 and 112,181 is: 168,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,389 : 693,583.50 = 112,181 : x
  2. Step 2: Convert to fraction form
    462,389/693,583.50 = 112,181/x
  3. Step 3: Cross multiply
    462,389x = 693,583.50 × 112,181
  4. Step 4: Simplify right side
    462,389x = 77,806,890,613.50
  5. Step 5: Solve for x
    x = 77,806,890,613.50/462,389
  6. Step 6: Final answer
    x = 168,271.50

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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.