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Finding the Fourth Proportional to 316,824.74, 475,233.01 and 76,940.61

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Solution

The fourth proportional to 316,824.74, 475,233.01 and 76,940.61 is: 115,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,824.74 : 475,233.01 = 76,940.61 : x
  2. Step 2: Convert to fraction form
    316,824.74/475,233.01 = 76,940.61/x
  3. Step 3: Cross multiply
    316,824.74x = 475,233.01 × 76,940.61
  4. Step 4: Simplify right side
    316,824.74x = 36,564,717,681.54
  5. Step 5: Solve for x
    x = 36,564,717,681.54/316,824.74
  6. Step 6: Final answer
    x = 115,409.92

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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.