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Finding the Fourth Proportional to 293,788, 405,551.46 and 198,423.87

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Solution

The fourth proportional to 293,788, 405,551.46 and 198,423.87 is: 273,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,788 : 405,551.46 = 198,423.87 : x
  2. Step 2: Convert to fraction form
    293,788/405,551.46 = 198,423.87/x
  3. Step 3: Cross multiply
    293,788x = 405,551.46 × 198,423.87
  4. Step 4: Simplify right side
    293,788x = 80,471,090,177.35
  5. Step 5: Solve for x
    x = 80,471,090,177.35/293,788
  6. Step 6: Final answer
    x = 273,908.70

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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.