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Finding the Fourth Proportional to 293,841.48, 440,737.71 and 208,097.85

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Solution

The fourth proportional to 293,841.48, 440,737.71 and 208,097.85 is: 312,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,841.48 : 440,737.71 = 208,097.85 : x
  2. Step 2: Convert to fraction form
    293,841.48/440,737.71 = 208,097.85/x
  3. Step 3: Cross multiply
    293,841.48x = 440,737.71 × 208,097.85
  4. Step 4: Simplify right side
    293,841.48x = 91,716,569,864.92
  5. Step 5: Solve for x
    x = 91,716,569,864.92/293,841.48
  6. Step 6: Final answer
    x = 312,129.42

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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.