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Finding the Fourth Proportional to 400,929.29, 600,754.22 and 293,816.83

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Solution

The fourth proportional to 400,929.29, 600,754.22 and 293,816.83 is: 440,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,929.29 : 600,754.22 = 293,816.83 : x
  2. Step 2: Convert to fraction form
    400,929.29/600,754.22 = 293,816.83/x
  3. Step 3: Cross multiply
    400,929.29x = 600,754.22 × 293,816.83
  4. Step 4: Simplify right side
    400,929.29x = 176,511,696,056.67
  5. Step 5: Solve for x
    x = 176,511,696,056.67/400,929.29
  6. Step 6: Final answer
    x = 440,256.43

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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.