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Finding the Fourth Proportional to 461,755.48, 692,702.47 and 162,183.26

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Solution

The fourth proportional to 461,755.48, 692,702.47 and 162,183.26 is: 243,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,755.48 : 692,702.47 = 162,183.26 : x
  2. Step 2: Convert to fraction form
    461,755.48/692,702.47 = 162,183.26/x
  3. Step 3: Cross multiply
    461,755.48x = 692,702.47 × 162,183.26
  4. Step 4: Simplify right side
    461,755.48x = 112,344,741,331.14
  5. Step 5: Solve for x
    x = 112,344,741,331.14/461,755.48
  6. Step 6: Final answer
    x = 243,299.21

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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.