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Finding the Fourth Proportional to 497,768.40, 746,585.40 and 198,469.20

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Solution

The fourth proportional to 497,768.40, 746,585.40 and 198,469.20 is: 297,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,768.40 : 746,585.40 = 198,469.20 : x
  2. Step 2: Convert to fraction form
    497,768.40/746,585.40 = 198,469.20/x
  3. Step 3: Cross multiply
    497,768.40x = 746,585.40 × 198,469.20
  4. Step 4: Simplify right side
    497,768.40x = 148,174,207,069.68
  5. Step 5: Solve for x
    x = 148,174,207,069.68/497,768.40
  6. Step 6: Final answer
    x = 297,677.01

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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.