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Finding the Fourth Proportional to 467,076.92, 700,844.34 and 289,536.92

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Solution

The fourth proportional to 467,076.92, 700,844.34 and 289,536.92 is: 434,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,076.92 : 700,844.34 = 289,536.92 : x
  2. Step 2: Convert to fraction form
    467,076.92/700,844.34 = 289,536.92/x
  3. Step 3: Cross multiply
    467,076.92x = 700,844.34 × 289,536.92
  4. Step 4: Simplify right side
    467,076.92x = 202,920,311,603.03
  5. Step 5: Solve for x
    x = 202,920,311,603.03/467,076.92
  6. Step 6: Final answer
    x = 434,447.31

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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.