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Finding the Fourth Proportional to 504,495.44, 696,193.16 and 278,141.52

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Solution

The fourth proportional to 504,495.44, 696,193.16 and 278,141.52 is: 383,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,495.44 : 696,193.16 = 278,141.52 : x
  2. Step 2: Convert to fraction form
    504,495.44/696,193.16 = 278,141.52/x
  3. Step 3: Cross multiply
    504,495.44x = 696,193.16 × 278,141.52
  4. Step 4: Simplify right side
    504,495.44x = 193,640,223,736.00
  5. Step 5: Solve for x
    x = 193,640,223,736.00/504,495.44
  6. Step 6: Final answer
    x = 383,829.48

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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.