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Finding the Fourth Proportional to 293,157.72, 404,557.80 and 165,830.64

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Solution

The fourth proportional to 293,157.72, 404,557.80 and 165,830.64 is: 228,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,157.72 : 404,557.80 = 165,830.64 : x
  2. Step 2: Convert to fraction form
    293,157.72/404,557.80 = 165,830.64/x
  3. Step 3: Cross multiply
    293,157.72x = 404,557.80 × 165,830.64
  4. Step 4: Simplify right side
    293,157.72x = 67,088,078,890.99
  5. Step 5: Solve for x
    x = 67,088,078,890.99/293,157.72
  6. Step 6: Final answer
    x = 228,846.37

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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.