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Finding the Fourth Proportional to 322,439.64, 483,089.85 and 195,821.34

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Solution

The fourth proportional to 322,439.64, 483,089.85 and 195,821.34 is: 293,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,439.64 : 483,089.85 = 195,821.34 : x
  2. Step 2: Convert to fraction form
    322,439.64/483,089.85 = 195,821.34/x
  3. Step 3: Cross multiply
    322,439.64x = 483,089.85 × 195,821.34
  4. Step 4: Simplify right side
    322,439.64x = 94,599,301,767.40
  5. Step 5: Solve for x
    x = 94,599,301,767.40/322,439.64
  6. Step 6: Final answer
    x = 293,386.08

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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.