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Finding the Fourth Proportional to 322,635.35, 484,014.08 and 106,506.29

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Solution

The fourth proportional to 322,635.35, 484,014.08 and 106,506.29 is: 159,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,635.35 : 484,014.08 = 106,506.29 : x
  2. Step 2: Convert to fraction form
    322,635.35/484,014.08 = 106,506.29/x
  3. Step 3: Cross multiply
    322,635.35x = 484,014.08 × 106,506.29
  4. Step 4: Simplify right side
    322,635.35x = 51,550,545,444.86
  5. Step 5: Solve for x
    x = 51,550,545,444.86/322,635.35
  6. Step 6: Final answer
    x = 159,779.59

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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.