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Finding the Fourth Proportional to 314,500.32, 471,680.82 and 101,211.12

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Solution

The fourth proportional to 314,500.32, 471,680.82 and 101,211.12 is: 151,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,500.32 : 471,680.82 = 101,211.12 : x
  2. Step 2: Convert to fraction form
    314,500.32/471,680.82 = 101,211.12/x
  3. Step 3: Cross multiply
    314,500.32x = 471,680.82 × 101,211.12
  4. Step 4: Simplify right side
    314,500.32x = 47,739,344,074.72
  5. Step 5: Solve for x
    x = 47,739,344,074.72/314,500.32
  6. Step 6: Final answer
    x = 151,794.26

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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.