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Finding the Fourth Proportional to 264,389.64, 396,584.45 and 77,401.14

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Solution

The fourth proportional to 264,389.64, 396,584.45 and 77,401.14 is: 116,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,389.64 : 396,584.45 = 77,401.14 : x
  2. Step 2: Convert to fraction form
    264,389.64/396,584.45 = 77,401.14/x
  3. Step 3: Cross multiply
    264,389.64x = 396,584.45 × 77,401.14
  4. Step 4: Simplify right side
    264,389.64x = 30,696,088,536.27
  5. Step 5: Solve for x
    x = 30,696,088,536.27/264,389.64
  6. Step 6: Final answer
    x = 116,101.71

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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.