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Finding the Fourth Proportional to 472,092.78, 651,479.82 and 257,234.60

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Solution

The fourth proportional to 472,092.78, 651,479.82 and 257,234.60 is: 354,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,092.78 : 651,479.82 = 257,234.60 : x
  2. Step 2: Convert to fraction form
    472,092.78/651,479.82 = 257,234.60/x
  3. Step 3: Cross multiply
    472,092.78x = 651,479.82 × 257,234.60
  4. Step 4: Simplify right side
    472,092.78x = 167,583,150,905.77
  5. Step 5: Solve for x
    x = 167,583,150,905.77/472,092.78
  6. Step 6: Final answer
    x = 354,979.27

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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.