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Finding the Fourth Proportional to 314,297.92, 471,446.88 and 92,630.08

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Solution

The fourth proportional to 314,297.92, 471,446.88 and 92,630.08 is: 138,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,297.92 : 471,446.88 = 92,630.08 : x
  2. Step 2: Convert to fraction form
    314,297.92/471,446.88 = 92,630.08/x
  3. Step 3: Cross multiply
    314,297.92x = 471,446.88 × 92,630.08
  4. Step 4: Simplify right side
    314,297.92x = 43,670,162,210.15
  5. Step 5: Solve for x
    x = 43,670,162,210.15/314,297.92
  6. Step 6: Final answer
    x = 138,945.12

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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.