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Finding the Fourth Proportional to 322,596.86, 483,864 and 97,959.24

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Solution

The fourth proportional to 322,596.86, 483,864 and 97,959.24 is: 146,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,596.86 : 483,864 = 97,959.24 : x
  2. Step 2: Convert to fraction form
    322,596.86/483,864 = 97,959.24/x
  3. Step 3: Cross multiply
    322,596.86x = 483,864 × 97,959.24
  4. Step 4: Simplify right side
    322,596.86x = 47,398,949,703.36
  5. Step 5: Solve for x
    x = 47,398,949,703.36/322,596.86
  6. Step 6: Final answer
    x = 146,929.36

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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.