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Finding the Fourth Proportional to 636,324, 954,491.76 and 193,092

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Solution

The fourth proportional to 636,324, 954,491.76 and 193,092 is: 289,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,324 : 954,491.76 = 193,092 : x
  2. Step 2: Convert to fraction form
    636,324/954,491.76 = 193,092/x
  3. Step 3: Cross multiply
    636,324x = 954,491.76 × 193,092
  4. Step 4: Simplify right side
    636,324x = 184,304,722,921.92
  5. Step 5: Solve for x
    x = 184,304,722,921.92/636,324
  6. Step 6: Final answer
    x = 289,639.75

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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.