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Finding the Fourth Proportional to 427,902.83, 590,503.84 and 231,669.43

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Solution

The fourth proportional to 427,902.83, 590,503.84 and 231,669.43 is: 319,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,902.83 : 590,503.84 = 231,669.43 : x
  2. Step 2: Convert to fraction form
    427,902.83/590,503.84 = 231,669.43/x
  3. Step 3: Cross multiply
    427,902.83x = 590,503.84 × 231,669.43
  4. Step 4: Simplify right side
    427,902.83x = 136,801,688,025.61
  5. Step 5: Solve for x
    x = 136,801,688,025.61/427,902.83
  6. Step 6: Final answer
    x = 319,702.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.