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Finding the Fourth Proportional to 354,901.30, 532,351.95 and 214,933.30

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Solution

The fourth proportional to 354,901.30, 532,351.95 and 214,933.30 is: 322,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.30 : 532,351.95 = 214,933.30 : x
  2. Step 2: Convert to fraction form
    354,901.30/532,351.95 = 214,933.30/x
  3. Step 3: Cross multiply
    354,901.30x = 532,351.95 × 214,933.30
  4. Step 4: Simplify right side
    354,901.30x = 114,420,161,374.94
  5. Step 5: Solve for x
    x = 114,420,161,374.94/354,901.30
  6. Step 6: Final answer
    x = 322,399.95

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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.