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Finding the Fourth Proportional to 504,372, 696,033.36 and 278,022.36

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Solution

The fourth proportional to 504,372, 696,033.36 and 278,022.36 is: 383,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,372 : 696,033.36 = 278,022.36 : x
  2. Step 2: Convert to fraction form
    504,372/696,033.36 = 278,022.36/x
  3. Step 3: Cross multiply
    504,372x = 696,033.36 × 278,022.36
  4. Step 4: Simplify right side
    504,372x = 193,512,837,385.93
  5. Step 5: Solve for x
    x = 193,512,837,385.93/504,372
  6. Step 6: Final answer
    x = 383,670.86

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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.