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Finding the Fourth Proportional to 465,251.32, 697,380.79 and 265,140.82

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Solution

The fourth proportional to 465,251.32, 697,380.79 and 265,140.82 is: 397,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,251.32 : 697,380.79 = 265,140.82 : x
  2. Step 2: Convert to fraction form
    465,251.32/697,380.79 = 265,140.82/x
  3. Step 3: Cross multiply
    465,251.32x = 697,380.79 × 265,140.82
  4. Step 4: Simplify right side
    465,251.32x = 184,904,114,512.85
  5. Step 5: Solve for x
    x = 184,904,114,512.85/465,251.32
  6. Step 6: Final answer
    x = 397,428.46

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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.