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Finding the Fourth Proportional to 464,419, 696,637.14 and 132,003.64

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Solution

The fourth proportional to 464,419, 696,637.14 and 132,003.64 is: 198,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,419 : 696,637.14 = 132,003.64 : x
  2. Step 2: Convert to fraction form
    464,419/696,637.14 = 132,003.64/x
  3. Step 3: Cross multiply
    464,419x = 696,637.14 × 132,003.64
  4. Step 4: Simplify right side
    464,419x = 91,958,638,239.19
  5. Step 5: Solve for x
    x = 91,958,638,239.19/464,419
  6. Step 6: Final answer
    x = 198,007.92

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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.