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Finding the Fourth Proportional to 316,951.44, 475,423.56 and 77,066.70

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Solution

The fourth proportional to 316,951.44, 475,423.56 and 77,066.70 is: 115,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,951.44 : 475,423.56 = 77,066.70 : x
  2. Step 2: Convert to fraction form
    316,951.44/475,423.56 = 77,066.70/x
  3. Step 3: Cross multiply
    316,951.44x = 475,423.56 × 77,066.70
  4. Step 4: Simplify right side
    316,951.44x = 36,639,324,871.45
  5. Step 5: Solve for x
    x = 36,639,324,871.45/316,951.44
  6. Step 6: Final answer
    x = 115,599.17

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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.