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Finding the Fourth Proportional to 410,232.54, 613,325.76 and 347,749.92

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Solution

The fourth proportional to 410,232.54, 613,325.76 and 347,749.92 is: 519,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,232.54 : 613,325.76 = 347,749.92 : x
  2. Step 2: Convert to fraction form
    410,232.54/613,325.76 = 347,749.92/x
  3. Step 3: Cross multiply
    410,232.54x = 613,325.76 × 347,749.92
  4. Step 4: Simplify right side
    410,232.54x = 213,283,983,973.94
  5. Step 5: Solve for x
    x = 213,283,983,973.94/410,232.54
  6. Step 6: Final answer
    x = 519,909.96

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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.