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Finding the Fourth Proportional to 398,753.43, 596,311.93 and 297,622.81

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Solution

The fourth proportional to 398,753.43, 596,311.93 and 297,622.81 is: 445,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,753.43 : 596,311.93 = 297,622.81 : x
  2. Step 2: Convert to fraction form
    398,753.43/596,311.93 = 297,622.81/x
  3. Step 3: Cross multiply
    398,753.43x = 596,311.93 × 297,622.81
  4. Step 4: Simplify right side
    398,753.43x = 177,476,032,243.12
  5. Step 5: Solve for x
    x = 177,476,032,243.12/398,753.43
  6. Step 6: Final answer
    x = 445,077.13

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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.