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Finding the Fourth Proportional to 322,488.70, 483,737.10 and 97,851.40

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Solution

The fourth proportional to 322,488.70, 483,737.10 and 97,851.40 is: 146,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,488.70 : 483,737.10 = 97,851.40 : x
  2. Step 2: Convert to fraction form
    322,488.70/483,737.10 = 97,851.40/x
  3. Step 3: Cross multiply
    322,488.70x = 483,737.10 × 97,851.40
  4. Step 4: Simplify right side
    322,488.70x = 47,334,352,466.94
  5. Step 5: Solve for x
    x = 47,334,352,466.94/322,488.70
  6. Step 6: Final answer
    x = 146,778.33

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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.