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Finding the Fourth Proportional to 552,565.14, 762,532.29 and 310,847.64

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Solution

The fourth proportional to 552,565.14, 762,532.29 and 310,847.64 is: 428,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,565.14 : 762,532.29 = 310,847.64 : x
  2. Step 2: Convert to fraction form
    552,565.14/762,532.29 = 310,847.64/x
  3. Step 3: Cross multiply
    552,565.14x = 762,532.29 × 310,847.64
  4. Step 4: Simplify right side
    552,565.14x = 237,031,362,770.30
  5. Step 5: Solve for x
    x = 237,031,362,770.30/552,565.14
  6. Step 6: Final answer
    x = 428,965.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.