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Finding the Fourth Proportional to 697,419.96, 1,046,129.96 and 198,771

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Solution

The fourth proportional to 697,419.96, 1,046,129.96 and 198,771 is: 298,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,419.96 : 1,046,129.96 = 198,771 : x
  2. Step 2: Convert to fraction form
    697,419.96/1,046,129.96 = 198,771/x
  3. Step 3: Cross multiply
    697,419.96x = 1,046,129.96 × 198,771
  4. Step 4: Simplify right side
    697,419.96x = 207,940,298,279.16
  5. Step 5: Solve for x
    x = 207,940,298,279.16/697,419.96
  6. Step 6: Final answer
    x = 298,156.51

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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.