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Finding the Fourth Proportional to 322,715.29, 484,087.92 and 98,107.96

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Solution

The fourth proportional to 322,715.29, 484,087.92 and 98,107.96 is: 147,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,715.29 : 484,087.92 = 98,107.96 : x
  2. Step 2: Convert to fraction form
    322,715.29/484,087.92 = 98,107.96/x
  3. Step 3: Cross multiply
    322,715.29x = 484,087.92 × 98,107.96
  4. Step 4: Simplify right side
    322,715.29x = 47,492,878,291.84
  5. Step 5: Solve for x
    x = 47,492,878,291.84/322,715.29
  6. Step 6: Final answer
    x = 147,166.50

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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.