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Finding the Fourth Proportional to 474,126.28, 709,439.81 and 284,702.00

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Solution

The fourth proportional to 474,126.28, 709,439.81 and 284,702.00 is: 426,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,126.28 : 709,439.81 = 284,702.00 : x
  2. Step 2: Convert to fraction form
    474,126.28/709,439.81 = 284,702.00/x
  3. Step 3: Cross multiply
    474,126.28x = 709,439.81 × 284,702.00
  4. Step 4: Simplify right side
    474,126.28x = 201,978,936,335.27
  5. Step 5: Solve for x
    x = 201,978,936,335.27/474,126.28
  6. Step 6: Final answer
    x = 426,002.41

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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.