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Finding the Fourth Proportional to 314,162.26, 471,248.26 and 298,211.74

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Solution

The fourth proportional to 314,162.26, 471,248.26 and 298,211.74 is: 447,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,162.26 : 471,248.26 = 298,211.74 : x
  2. Step 2: Convert to fraction form
    314,162.26/471,248.26 = 298,211.74/x
  3. Step 3: Cross multiply
    314,162.26x = 471,248.26 × 298,211.74
  4. Step 4: Simplify right side
    314,162.26x = 140,531,763,586.57
  5. Step 5: Solve for x
    x = 140,531,763,586.57/314,162.26
  6. Step 6: Final answer
    x = 447,322.23

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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.