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Finding the Fourth Proportional to 465,989.62, 697,863.34 and 265,702.80

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Solution

The fourth proportional to 465,989.62, 697,863.34 and 265,702.80 is: 397,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,989.62 : 697,863.34 = 265,702.80 : x
  2. Step 2: Convert to fraction form
    465,989.62/697,863.34 = 265,702.80/x
  3. Step 3: Cross multiply
    465,989.62x = 697,863.34 × 265,702.80
  4. Step 4: Simplify right side
    465,989.62x = 185,424,243,455.35
  5. Step 5: Solve for x
    x = 185,424,243,455.35/465,989.62
  6. Step 6: Final answer
    x = 397,914.97

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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.