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Finding the Fourth Proportional to 409,530.67, 614,293.57 and 105,924.85

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Solution

The fourth proportional to 409,530.67, 614,293.57 and 105,924.85 is: 158,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,530.67 : 614,293.57 = 105,924.85 : x
  2. Step 2: Convert to fraction form
    409,530.67/614,293.57 = 105,924.85/x
  3. Step 3: Cross multiply
    409,530.67x = 614,293.57 × 105,924.85
  4. Step 4: Simplify right side
    409,530.67x = 65,068,954,258.21
  5. Step 5: Solve for x
    x = 65,068,954,258.21/409,530.67
  6. Step 6: Final answer
    x = 158,886.65

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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.