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Finding the Fourth Proportional to 322,488.94, 483,734.52 and 97,851.23

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Solution

The fourth proportional to 322,488.94, 483,734.52 and 97,851.23 is: 146,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,488.94 : 483,734.52 = 97,851.23 : x
  2. Step 2: Convert to fraction form
    322,488.94/483,734.52 = 97,851.23/x
  3. Step 3: Cross multiply
    322,488.94x = 483,734.52 × 97,851.23
  4. Step 4: Simplify right side
    322,488.94x = 47,334,017,775.46
  5. Step 5: Solve for x
    x = 47,334,017,775.46/322,488.94
  6. Step 6: Final answer
    x = 146,777.18

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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.