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Finding the Fourth Proportional to 405,150.20, 607,856.52 and 194,760.80

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Solution

The fourth proportional to 405,150.20, 607,856.52 and 194,760.80 is: 292,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,150.20 : 607,856.52 = 194,760.80 : x
  2. Step 2: Convert to fraction form
    405,150.20/607,856.52 = 194,760.80/x
  3. Step 3: Cross multiply
    405,150.20x = 607,856.52 × 194,760.80
  4. Step 4: Simplify right side
    405,150.20x = 118,386,622,120.42
  5. Step 5: Solve for x
    x = 118,386,622,120.42/405,150.20
  6. Step 6: Final answer
    x = 292,204.28

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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.