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Finding the Fourth Proportional to 461,755.23, 692,702.09 and 162,183

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Solution

The fourth proportional to 461,755.23, 692,702.09 and 162,183 is: 243,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,755.23 : 692,702.09 = 162,183 : x
  2. Step 2: Convert to fraction form
    461,755.23/692,702.09 = 162,183/x
  3. Step 3: Cross multiply
    461,755.23x = 692,702.09 × 162,183
  4. Step 4: Simplify right side
    461,755.23x = 112,344,503,062.47
  5. Step 5: Solve for x
    x = 112,344,503,062.47/461,755.23
  6. Step 6: Final answer
    x = 243,298.82

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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.