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Finding the Fourth Proportional to 464,593.14, 696,908.61 and 221,309.15

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Solution

The fourth proportional to 464,593.14, 696,908.61 and 221,309.15 is: 331,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,593.14 : 696,908.61 = 221,309.15 : x
  2. Step 2: Convert to fraction form
    464,593.14/696,908.61 = 221,309.15/x
  3. Step 3: Cross multiply
    464,593.14x = 696,908.61 × 221,309.15
  4. Step 4: Simplify right side
    464,593.14x = 154,232,247,688.59
  5. Step 5: Solve for x
    x = 154,232,247,688.59/464,593.14
  6. Step 6: Final answer
    x = 331,972.72

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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.