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Finding the Fourth Proportional to 410,843.40, 616,265.10 and 340,859.40

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Solution

The fourth proportional to 410,843.40, 616,265.10 and 340,859.40 is: 511,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,843.40 : 616,265.10 = 340,859.40 : x
  2. Step 2: Convert to fraction form
    410,843.40/616,265.10 = 340,859.40/x
  3. Step 3: Cross multiply
    410,843.40x = 616,265.10 × 340,859.40
  4. Step 4: Simplify right side
    410,843.40x = 210,059,752,226.94
  5. Step 5: Solve for x
    x = 210,059,752,226.94/410,843.40
  6. Step 6: Final answer
    x = 511,289.10

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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.