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Finding the Fourth Proportional to 322,427.13, 482,903.06 and 154,065.80

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Solution

The fourth proportional to 322,427.13, 482,903.06 and 154,065.80 is: 230,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,427.13 : 482,903.06 = 154,065.80 : x
  2. Step 2: Convert to fraction form
    322,427.13/482,903.06 = 154,065.80/x
  3. Step 3: Cross multiply
    322,427.13x = 482,903.06 × 154,065.80
  4. Step 4: Simplify right side
    322,427.13x = 74,398,843,076.50
  5. Step 5: Solve for x
    x = 74,398,843,076.50/322,427.13
  6. Step 6: Final answer
    x = 230,746.22

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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.