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Finding the Fourth Proportional to 550,702.94, 826,133.23 and 243,297.30

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Solution

The fourth proportional to 550,702.94, 826,133.23 and 243,297.30 is: 364,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,702.94 : 826,133.23 = 243,297.30 : x
  2. Step 2: Convert to fraction form
    550,702.94/826,133.23 = 243,297.30/x
  3. Step 3: Cross multiply
    550,702.94x = 826,133.23 × 243,297.30
  4. Step 4: Simplify right side
    550,702.94x = 200,995,987,701.40
  5. Step 5: Solve for x
    x = 200,995,987,701.40/550,702.94
  6. Step 6: Final answer
    x = 364,980.78

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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.