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Finding the Fourth Proportional to 322,478.48, 483,718.86 and 97,840.82

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Solution

The fourth proportional to 322,478.48, 483,718.86 and 97,840.82 is: 146,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,478.48 : 483,718.86 = 97,840.82 : x
  2. Step 2: Convert to fraction form
    322,478.48/483,718.86 = 97,840.82/x
  3. Step 3: Cross multiply
    322,478.48x = 483,718.86 × 97,840.82
  4. Step 4: Simplify right side
    322,478.48x = 47,327,449,911.87
  5. Step 5: Solve for x
    x = 47,327,449,911.87/322,478.48
  6. Step 6: Final answer
    x = 146,761.58

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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.