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Finding the Fourth Proportional to 293,364.20, 440,046.30 and 106,381.80

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Solution

The fourth proportional to 293,364.20, 440,046.30 and 106,381.80 is: 159,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,364.20 : 440,046.30 = 106,381.80 : x
  2. Step 2: Convert to fraction form
    293,364.20/440,046.30 = 106,381.80/x
  3. Step 3: Cross multiply
    293,364.20x = 440,046.30 × 106,381.80
  4. Step 4: Simplify right side
    293,364.20x = 46,812,917,477.34
  5. Step 5: Solve for x
    x = 46,812,917,477.34/293,364.20
  6. Step 6: Final answer
    x = 159,572.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.