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Finding the Fourth Proportional to 463,253.32, 694,981.98 and 263,667.64

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Solution

The fourth proportional to 463,253.32, 694,981.98 and 263,667.64 is: 395,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,253.32 : 694,981.98 = 263,667.64 : x
  2. Step 2: Convert to fraction form
    463,253.32/694,981.98 = 263,667.64/x
  3. Step 3: Cross multiply
    463,253.32x = 694,981.98 × 263,667.64
  4. Step 4: Simplify right side
    463,253.32x = 183,244,258,509.13
  5. Step 5: Solve for x
    x = 183,244,258,509.13/463,253.32
  6. Step 6: Final answer
    x = 395,559.51

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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.