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Finding the Fourth Proportional to 322,002.80, 483,008.64 and 97,364.96

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Solution

The fourth proportional to 322,002.80, 483,008.64 and 97,364.96 is: 146,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,002.80 : 483,008.64 = 97,364.96 : x
  2. Step 2: Convert to fraction form
    322,002.80/483,008.64 = 97,364.96/x
  3. Step 3: Cross multiply
    322,002.80x = 483,008.64 × 97,364.96
  4. Step 4: Simplify right side
    322,002.80x = 47,028,116,913.25
  5. Step 5: Solve for x
    x = 47,028,116,913.25/322,002.80
  6. Step 6: Final answer
    x = 146,048.78

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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.