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Finding the Fourth Proportional to 322,922.16, 484,461 and 101,306.16

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Solution

The fourth proportional to 322,922.16, 484,461 and 101,306.16 is: 151,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,922.16 : 484,461 = 101,306.16 : x
  2. Step 2: Convert to fraction form
    322,922.16/484,461 = 101,306.16/x
  3. Step 3: Cross multiply
    322,922.16x = 484,461 × 101,306.16
  4. Step 4: Simplify right side
    322,922.16x = 49,078,883,579.76
  5. Step 5: Solve for x
    x = 49,078,883,579.76/322,922.16
  6. Step 6: Final answer
    x = 151,983.63

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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.