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Finding the Fourth Proportional to 217,184.32, 324,290.96 and 194,548.88

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Solution

The fourth proportional to 217,184.32, 324,290.96 and 194,548.88 is: 290,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,184.32 : 324,290.96 = 194,548.88 : x
  2. Step 2: Convert to fraction form
    217,184.32/324,290.96 = 194,548.88/x
  3. Step 3: Cross multiply
    217,184.32x = 324,290.96 × 194,548.88
  4. Step 4: Simplify right side
    217,184.32x = 63,090,443,062.12
  5. Step 5: Solve for x
    x = 63,090,443,062.12/217,184.32
  6. Step 6: Final answer
    x = 290,492.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.