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Finding the Fourth Proportional to 534,003.36, 801,005.64 and 196,897.96

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Solution

The fourth proportional to 534,003.36, 801,005.64 and 196,897.96 is: 295,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,003.36 : 801,005.64 = 196,897.96 : x
  2. Step 2: Convert to fraction form
    534,003.36/801,005.64 = 196,897.96/x
  3. Step 3: Cross multiply
    534,003.36x = 801,005.64 × 196,897.96
  4. Step 4: Simplify right side
    534,003.36x = 157,716,376,464.49
  5. Step 5: Solve for x
    x = 157,716,376,464.49/534,003.36
  6. Step 6: Final answer
    x = 295,347.16

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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.