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Finding the Fourth Proportional to 498,450.60, 747,189.90 and 284,999.40

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Solution

The fourth proportional to 498,450.60, 747,189.90 and 284,999.40 is: 427,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,450.60 : 747,189.90 = 284,999.40 : x
  2. Step 2: Convert to fraction form
    498,450.60/747,189.90 = 284,999.40/x
  3. Step 3: Cross multiply
    498,450.60x = 747,189.90 × 284,999.40
  4. Step 4: Simplify right side
    498,450.60x = 212,948,673,186.06
  5. Step 5: Solve for x
    x = 212,948,673,186.06/498,450.60
  6. Step 6: Final answer
    x = 427,221.22

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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.