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Finding the Fourth Proportional to 490,084.80, 735,127.20 and 322,123.20

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Solution

The fourth proportional to 490,084.80, 735,127.20 and 322,123.20 is: 483,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,084.80 : 735,127.20 = 322,123.20 : x
  2. Step 2: Convert to fraction form
    490,084.80/735,127.20 = 322,123.20/x
  3. Step 3: Cross multiply
    490,084.80x = 735,127.20 × 322,123.20
  4. Step 4: Simplify right side
    490,084.80x = 236,801,526,071.04
  5. Step 5: Solve for x
    x = 236,801,526,071.04/490,084.80
  6. Step 6: Final answer
    x = 483,184.80

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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.