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Finding the Fourth Proportional to 322,064.24, 483,113.27 and 97,418.95

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Solution

The fourth proportional to 322,064.24, 483,113.27 and 97,418.95 is: 146,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,064.24 : 483,113.27 = 97,418.95 : x
  2. Step 2: Convert to fraction form
    322,064.24/483,113.27 = 97,418.95/x
  3. Step 3: Cross multiply
    322,064.24x = 483,113.27 × 97,418.95
  4. Step 4: Simplify right side
    322,064.24x = 47,064,387,494.47
  5. Step 5: Solve for x
    x = 47,064,387,494.47/322,064.24
  6. Step 6: Final answer
    x = 146,133.54

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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.