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Finding the Fourth Proportional to 514,840.32, 772,295.04 and 140,866.56

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Solution

The fourth proportional to 514,840.32, 772,295.04 and 140,866.56 is: 211,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,840.32 : 772,295.04 = 140,866.56 : x
  2. Step 2: Convert to fraction form
    514,840.32/772,295.04 = 140,866.56/x
  3. Step 3: Cross multiply
    514,840.32x = 772,295.04 × 140,866.56
  4. Step 4: Simplify right side
    514,840.32x = 108,790,545,589.86
  5. Step 5: Solve for x
    x = 108,790,545,589.86/514,840.32
  6. Step 6: Final answer
    x = 211,309.30

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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.