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Finding the Fourth Proportional to 296,280, 444,420 and 74,664

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Solution

The fourth proportional to 296,280, 444,420 and 74,664 is: 111,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,280 : 444,420 = 74,664 : x
  2. Step 2: Convert to fraction form
    296,280/444,420 = 74,664/x
  3. Step 3: Cross multiply
    296,280x = 444,420 × 74,664
  4. Step 4: Simplify right side
    296,280x = 33,182,174,880
  5. Step 5: Solve for x
    x = 33,182,174,880/296,280
  6. Step 6: Final answer
    x = 111,996

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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.