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Finding the Fourth Proportional to 462,468, 693,702 and 112,260

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Solution

The fourth proportional to 462,468, 693,702 and 112,260 is: 168,390

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,468 : 693,702 = 112,260 : x
  2. Step 2: Convert to fraction form
    462,468/693,702 = 112,260/x
  3. Step 3: Cross multiply
    462,468x = 693,702 × 112,260
  4. Step 4: Simplify right side
    462,468x = 77,874,986,520
  5. Step 5: Solve for x
    x = 77,874,986,520/462,468
  6. Step 6: Final answer
    x = 168,390

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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.