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Finding the Fourth Proportional to 316,460.79, 474,363.14 and 197,859.78

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Solution

The fourth proportional to 316,460.79, 474,363.14 and 197,859.78 is: 296,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,460.79 : 474,363.14 = 197,859.78 : x
  2. Step 2: Convert to fraction form
    316,460.79/474,363.14 = 197,859.78/x
  3. Step 3: Cross multiply
    316,460.79x = 474,363.14 × 197,859.78
  4. Step 4: Simplify right side
    316,460.79x = 93,857,385,531.21
  5. Step 5: Solve for x
    x = 93,857,385,531.21/316,460.79
  6. Step 6: Final answer
    x = 296,584.56

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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.