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Finding the Fourth Proportional to 311,950.82, 430,492.42 and 168,710.86

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Solution

The fourth proportional to 311,950.82, 430,492.42 and 168,710.86 is: 232,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,950.82 : 430,492.42 = 168,710.86 : x
  2. Step 2: Convert to fraction form
    311,950.82/430,492.42 = 168,710.86/x
  3. Step 3: Cross multiply
    311,950.82x = 430,492.42 × 168,710.86
  4. Step 4: Simplify right side
    311,950.82x = 72,628,746,201.69
  5. Step 5: Solve for x
    x = 72,628,746,201.69/311,950.82
  6. Step 6: Final answer
    x = 232,821.14

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