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Finding the Fourth Proportional to 504,971.14, 696,874.74 and 278,631.22

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Solution

The fourth proportional to 504,971.14, 696,874.74 and 278,631.22 is: 384,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,971.14 : 696,874.74 = 278,631.22 : x
  2. Step 2: Convert to fraction form
    504,971.14/696,874.74 = 278,631.22/x
  3. Step 3: Cross multiply
    504,971.14x = 696,874.74 × 278,631.22
  4. Step 4: Simplify right side
    504,971.14x = 194,171,058,993.38
  5. Step 5: Solve for x
    x = 194,171,058,993.38/504,971.14
  6. Step 6: Final answer
    x = 384,519.12

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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.