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Finding the Fourth Proportional to 293,407.38, 405,150.39 and 186,167.70

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Solution

The fourth proportional to 293,407.38, 405,150.39 and 186,167.70 is: 257,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,407.38 : 405,150.39 = 186,167.70 : x
  2. Step 2: Convert to fraction form
    293,407.38/405,150.39 = 186,167.70/x
  3. Step 3: Cross multiply
    293,407.38x = 405,150.39 × 186,167.70
  4. Step 4: Simplify right side
    293,407.38x = 75,425,916,260.40
  5. Step 5: Solve for x
    x = 75,425,916,260.40/293,407.38
  6. Step 6: Final answer
    x = 257,068.91

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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.