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Finding the Fourth Proportional to 485,416.40, 727,905.90 and 185,797.40

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Solution

The fourth proportional to 485,416.40, 727,905.90 and 185,797.40 is: 278,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,416.40 : 727,905.90 = 185,797.40 : x
  2. Step 2: Convert to fraction form
    485,416.40/727,905.90 = 185,797.40/x
  3. Step 3: Cross multiply
    485,416.40x = 727,905.90 × 185,797.40
  4. Step 4: Simplify right side
    485,416.40x = 135,243,023,664.66
  5. Step 5: Solve for x
    x = 135,243,023,664.66/485,416.40
  6. Step 6: Final answer
    x = 278,612.39

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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.