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Finding the Fourth Proportional to 465,989.12, 697,862.60 and 265,702.31

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Solution

The fourth proportional to 465,989.12, 697,862.60 and 265,702.31 is: 397,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,989.12 : 697,862.60 = 265,702.31 : x
  2. Step 2: Convert to fraction form
    465,989.12/697,862.60 = 265,702.31/x
  3. Step 3: Cross multiply
    465,989.12x = 697,862.60 × 265,702.31
  4. Step 4: Simplify right side
    465,989.12x = 185,423,704,882.61
  5. Step 5: Solve for x
    x = 185,423,704,882.61/465,989.12
  6. Step 6: Final answer
    x = 397,914.24

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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.