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Finding the Fourth Proportional to 430,309, 593,826.42 and 251,461

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Solution

The fourth proportional to 430,309, 593,826.42 and 251,461 is: 347,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,309 : 593,826.42 = 251,461 : x
  2. Step 2: Convert to fraction form
    430,309/593,826.42 = 251,461/x
  3. Step 3: Cross multiply
    430,309x = 593,826.42 × 251,461
  4. Step 4: Simplify right side
    430,309x = 149,324,185,399.62
  5. Step 5: Solve for x
    x = 149,324,185,399.62/430,309
  6. Step 6: Final answer
    x = 347,016.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.