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Finding the Fourth Proportional to 293,157.76, 404,557.84 and 165,830.64

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Solution

The fourth proportional to 293,157.76, 404,557.84 and 165,830.64 is: 228,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,157.76 : 404,557.84 = 165,830.64 : x
  2. Step 2: Convert to fraction form
    293,157.76/404,557.84 = 165,830.64/x
  3. Step 3: Cross multiply
    293,157.76x = 404,557.84 × 165,830.64
  4. Step 4: Simplify right side
    293,157.76x = 67,088,085,524.22
  5. Step 5: Solve for x
    x = 67,088,085,524.22/293,157.76
  6. Step 6: Final answer
    x = 228,846.36

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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.