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Finding the Fourth Proportional to 322,943.48, 484,101 and 154,420.08

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Solution

The fourth proportional to 322,943.48, 484,101 and 154,420.08 is: 231,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,943.48 : 484,101 = 154,420.08 : x
  2. Step 2: Convert to fraction form
    322,943.48/484,101 = 154,420.08/x
  3. Step 3: Cross multiply
    322,943.48x = 484,101 × 154,420.08
  4. Step 4: Simplify right side
    322,943.48x = 74,754,915,148.08
  5. Step 5: Solve for x
    x = 74,754,915,148.08/322,943.48
  6. Step 6: Final answer
    x = 231,479.87

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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.