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Finding the Fourth Proportional to 293,730.71, 440,792.89 and 188,623.49

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Solution

The fourth proportional to 293,730.71, 440,792.89 and 188,623.49 is: 283,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,730.71 : 440,792.89 = 188,623.49 : x
  2. Step 2: Convert to fraction form
    293,730.71/440,792.89 = 188,623.49/x
  3. Step 3: Cross multiply
    293,730.71x = 440,792.89 × 188,623.49
  4. Step 4: Simplify right side
    293,730.71x = 83,143,890,603.46
  5. Step 5: Solve for x
    x = 83,143,890,603.46/293,730.71
  6. Step 6: Final answer
    x = 283,061.62

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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.