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Finding the Fourth Proportional to 354,093.68, 531,297.42 and 185,573.90

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Solution

The fourth proportional to 354,093.68, 531,297.42 and 185,573.90 is: 278,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,093.68 : 531,297.42 = 185,573.90 : x
  2. Step 2: Convert to fraction form
    354,093.68/531,297.42 = 185,573.90/x
  3. Step 3: Cross multiply
    354,093.68x = 531,297.42 × 185,573.90
  4. Step 4: Simplify right side
    354,093.68x = 98,594,934,289.34
  5. Step 5: Solve for x
    x = 98,594,934,289.34/354,093.68
  6. Step 6: Final answer
    x = 278,443.08

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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.