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Finding the Fourth Proportional to 322,875.92, 484,294.29 and 120,433.00

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Solution

The fourth proportional to 322,875.92, 484,294.29 and 120,433.00 is: 180,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,875.92 : 484,294.29 = 120,433.00 : x
  2. Step 2: Convert to fraction form
    322,875.92/484,294.29 = 120,433.00/x
  3. Step 3: Cross multiply
    322,875.92x = 484,294.29 × 120,433.00
  4. Step 4: Simplify right side
    322,875.92x = 58,325,015,512.78
  5. Step 5: Solve for x
    x = 58,325,015,512.78/322,875.92
  6. Step 6: Final answer
    x = 180,642.20

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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.