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Finding the Fourth Proportional to 361,927.72, 542,804.10 and 151,723

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Solution

The fourth proportional to 361,927.72, 542,804.10 and 151,723 is: 227,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,927.72 : 542,804.10 = 151,723 : x
  2. Step 2: Convert to fraction form
    361,927.72/542,804.10 = 151,723/x
  3. Step 3: Cross multiply
    361,927.72x = 542,804.10 × 151,723
  4. Step 4: Simplify right side
    361,927.72x = 82,355,866,464.30
  5. Step 5: Solve for x
    x = 82,355,866,464.30/361,927.72
  6. Step 6: Final answer
    x = 227,547.83

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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.