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Finding the Fourth Proportional to 283,734.60, 425,601.90 and 165,539.40

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Solution

The fourth proportional to 283,734.60, 425,601.90 and 165,539.40 is: 248,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,734.60 : 425,601.90 = 165,539.40 : x
  2. Step 2: Convert to fraction form
    283,734.60/425,601.90 = 165,539.40/x
  3. Step 3: Cross multiply
    283,734.60x = 425,601.90 × 165,539.40
  4. Step 4: Simplify right side
    283,734.60x = 70,453,883,164.86
  5. Step 5: Solve for x
    x = 70,453,883,164.86/283,734.60
  6. Step 6: Final answer
    x = 248,309.10

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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.