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Finding the Fourth Proportional to 464,419.50, 696,637.89 and 132,004.14

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Solution

The fourth proportional to 464,419.50, 696,637.89 and 132,004.14 is: 198,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,419.50 : 696,637.89 = 132,004.14 : x
  2. Step 2: Convert to fraction form
    464,419.50/696,637.89 = 132,004.14/x
  3. Step 3: Cross multiply
    464,419.50x = 696,637.89 × 132,004.14
  4. Step 4: Simplify right side
    464,419.50x = 91,959,085,560.86
  5. Step 5: Solve for x
    x = 91,959,085,560.86/464,419.50
  6. Step 6: Final answer
    x = 198,008.67

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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.