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Finding the Fourth Proportional to 367,782.96, 550,646.60 and 198,697.48

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Solution

The fourth proportional to 367,782.96, 550,646.60 and 198,697.48 is: 297,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,782.96 : 550,646.60 = 198,697.48 : x
  2. Step 2: Convert to fraction form
    367,782.96/550,646.60 = 198,697.48/x
  3. Step 3: Cross multiply
    367,782.96x = 550,646.60 × 198,697.48
  4. Step 4: Simplify right side
    367,782.96x = 109,412,092,603.06
  5. Step 5: Solve for x
    x = 109,412,092,603.06/367,782.96
  6. Step 6: Final answer
    x = 297,490.93

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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.