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Finding the Fourth Proportional to 349,092.60, 523,713.30 and 199,404.60

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Solution

The fourth proportional to 349,092.60, 523,713.30 and 199,404.60 is: 299,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,092.60 : 523,713.30 = 199,404.60 : x
  2. Step 2: Convert to fraction form
    349,092.60/523,713.30 = 199,404.60/x
  3. Step 3: Cross multiply
    349,092.60x = 523,713.30 × 199,404.60
  4. Step 4: Simplify right side
    349,092.60x = 104,430,841,101.18
  5. Step 5: Solve for x
    x = 104,430,841,101.18/349,092.60
  6. Step 6: Final answer
    x = 299,149.40

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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.