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Finding the Fourth Proportional to 409,358.50, 614,059.62 and 128,897.62

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Solution

The fourth proportional to 409,358.50, 614,059.62 and 128,897.62 is: 193,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,358.50 : 614,059.62 = 128,897.62 : x
  2. Step 2: Convert to fraction form
    409,358.50/614,059.62 = 128,897.62/x
  3. Step 3: Cross multiply
    409,358.50x = 614,059.62 × 128,897.62
  4. Step 4: Simplify right side
    409,358.50x = 79,150,823,556.10
  5. Step 5: Solve for x
    x = 79,150,823,556.10/409,358.50
  6. Step 6: Final answer
    x = 193,353.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.