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Finding the Fourth Proportional to 308,272, 462,408 and 74,800

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Solution

The fourth proportional to 308,272, 462,408 and 74,800 is: 112,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,272 : 462,408 = 74,800 : x
  2. Step 2: Convert to fraction form
    308,272/462,408 = 74,800/x
  3. Step 3: Cross multiply
    308,272x = 462,408 × 74,800
  4. Step 4: Simplify right side
    308,272x = 34,588,118,400
  5. Step 5: Solve for x
    x = 34,588,118,400/308,272
  6. Step 6: Final answer
    x = 112,200

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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.