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Finding the Fourth Proportional to 509,170.70, 702,652.66 and 279,723.06

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Solution

The fourth proportional to 509,170.70, 702,652.66 and 279,723.06 is: 386,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,170.70 : 702,652.66 = 279,723.06 : x
  2. Step 2: Convert to fraction form
    509,170.70/702,652.66 = 279,723.06/x
  3. Step 3: Cross multiply
    509,170.70x = 702,652.66 × 279,723.06
  4. Step 4: Simplify right side
    509,170.70x = 196,548,151,473.03
  5. Step 5: Solve for x
    x = 196,548,151,473.03/509,170.70
  6. Step 6: Final answer
    x = 386,016.22

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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.