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Finding the Fourth Proportional to 410,849, 616,325.34 and 141,029.72

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Solution

The fourth proportional to 410,849, 616,325.34 and 141,029.72 is: 211,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,849 : 616,325.34 = 141,029.72 : x
  2. Step 2: Convert to fraction form
    410,849/616,325.34 = 141,029.72/x
  3. Step 3: Cross multiply
    410,849x = 616,325.34 × 141,029.72
  4. Step 4: Simplify right side
    410,849x = 86,920,190,129.10
  5. Step 5: Solve for x
    x = 86,920,190,129.10/410,849
  6. Step 6: Final answer
    x = 211,562.37

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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.