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Finding the Fourth Proportional to 504,062.52, 694,960.62 and 413,083.32

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Solution

The fourth proportional to 504,062.52, 694,960.62 and 413,083.32 is: 569,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,062.52 : 694,960.62 = 413,083.32 : x
  2. Step 2: Convert to fraction form
    504,062.52/694,960.62 = 413,083.32/x
  3. Step 3: Cross multiply
    504,062.52x = 694,960.62 × 413,083.32
  4. Step 4: Simplify right side
    504,062.52x = 287,076,640,178.86
  5. Step 5: Solve for x
    x = 287,076,640,178.86/504,062.52
  6. Step 6: Final answer
    x = 569,525.86

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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.