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Finding the Fourth Proportional to 322,594.30, 483,877.48 and 97,949.64

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Solution

The fourth proportional to 322,594.30, 483,877.48 and 97,949.64 is: 146,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,594.30 : 483,877.48 = 97,949.64 : x
  2. Step 2: Convert to fraction form
    322,594.30/483,877.48 = 97,949.64/x
  3. Step 3: Cross multiply
    322,594.30x = 483,877.48 × 97,949.64
  4. Step 4: Simplify right side
    322,594.30x = 47,395,624,970.11
  5. Step 5: Solve for x
    x = 47,395,624,970.11/322,594.30
  6. Step 6: Final answer
    x = 146,920.22

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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.