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Finding the Fourth Proportional to 361,864.05, 542,797.47 and 151,354.32

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Solution

The fourth proportional to 361,864.05, 542,797.47 and 151,354.32 is: 227,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,864.05 : 542,797.47 = 151,354.32 : x
  2. Step 2: Convert to fraction form
    361,864.05/542,797.47 = 151,354.32/x
  3. Step 3: Cross multiply
    361,864.05x = 542,797.47 × 151,354.32
  4. Step 4: Simplify right side
    361,864.05x = 82,154,741,969.57
  5. Step 5: Solve for x
    x = 82,154,741,969.57/361,864.05
  6. Step 6: Final answer
    x = 227,032.06

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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.