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Finding the Fourth Proportional to 338,493.76, 508,045.20 and 180,856.96

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Solution

The fourth proportional to 338,493.76, 508,045.20 and 180,856.96 is: 271,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,493.76 : 508,045.20 = 180,856.96 : x
  2. Step 2: Convert to fraction form
    338,493.76/508,045.20 = 180,856.96/x
  3. Step 3: Cross multiply
    338,493.76x = 508,045.20 × 180,856.96
  4. Step 4: Simplify right side
    338,493.76x = 91,883,510,414.59
  5. Step 5: Solve for x
    x = 91,883,510,414.59/338,493.76
  6. Step 6: Final answer
    x = 271,448.17

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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.