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Finding the Fourth Proportional to 367,709.40, 551,498.34 and 97,839

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Solution

The fourth proportional to 367,709.40, 551,498.34 and 97,839 is: 146,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,709.40 : 551,498.34 = 97,839 : x
  2. Step 2: Convert to fraction form
    367,709.40/551,498.34 = 97,839/x
  3. Step 3: Cross multiply
    367,709.40x = 551,498.34 × 97,839
  4. Step 4: Simplify right side
    367,709.40x = 53,958,046,087.26
  5. Step 5: Solve for x
    x = 53,958,046,087.26/367,709.40
  6. Step 6: Final answer
    x = 146,741.00

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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.