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Finding the Fourth Proportional to 329,812.20, 494,718.30 and 296,569.80

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Solution

The fourth proportional to 329,812.20, 494,718.30 and 296,569.80 is: 444,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,812.20 : 494,718.30 = 296,569.80 : x
  2. Step 2: Convert to fraction form
    329,812.20/494,718.30 = 296,569.80/x
  3. Step 3: Cross multiply
    329,812.20x = 494,718.30 × 296,569.80
  4. Step 4: Simplify right side
    329,812.20x = 146,718,507,287.34
  5. Step 5: Solve for x
    x = 146,718,507,287.34/329,812.20
  6. Step 6: Final answer
    x = 444,854.70

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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.