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Finding the Fourth Proportional to 409,578.96, 614,645.20 and 143,341.76

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Solution

The fourth proportional to 409,578.96, 614,645.20 and 143,341.76 is: 215,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,578.96 : 614,645.20 = 143,341.76 : x
  2. Step 2: Convert to fraction form
    409,578.96/614,645.20 = 143,341.76/x
  3. Step 3: Cross multiply
    409,578.96x = 614,645.20 × 143,341.76
  4. Step 4: Simplify right side
    409,578.96x = 88,104,324,743.55
  5. Step 5: Solve for x
    x = 88,104,324,743.55/409,578.96
  6. Step 6: Final answer
    x = 215,109.50

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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.