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Finding the Fourth Proportional to 514,842.82, 772,298.79 and 140,869.06

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Solution

The fourth proportional to 514,842.82, 772,298.79 and 140,869.06 is: 211,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,842.82 : 772,298.79 = 140,869.06 : x
  2. Step 2: Convert to fraction form
    514,842.82/772,298.79 = 140,869.06/x
  3. Step 3: Cross multiply
    514,842.82x = 772,298.79 × 140,869.06
  4. Step 4: Simplify right side
    514,842.82x = 108,793,004,586.44
  5. Step 5: Solve for x
    x = 108,793,004,586.44/514,842.82
  6. Step 6: Final answer
    x = 211,313.05

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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.