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Finding the Fourth Proportional to 400,833.20, 601,254.84 and 120,334.16

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Solution

The fourth proportional to 400,833.20, 601,254.84 and 120,334.16 is: 180,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,833.20 : 601,254.84 = 120,334.16 : x
  2. Step 2: Convert to fraction form
    400,833.20/601,254.84 = 120,334.16/x
  3. Step 3: Cross multiply
    400,833.20x = 601,254.84 × 120,334.16
  4. Step 4: Simplify right side
    400,833.20x = 72,351,496,117.33
  5. Step 5: Solve for x
    x = 72,351,496,117.33/400,833.20
  6. Step 6: Final answer
    x = 180,502.75

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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.