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Finding the Fourth Proportional to 357,996.11, 493,911.69 and 221,981.11

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Solution

The fourth proportional to 357,996.11, 493,911.69 and 221,981.11 is: 306,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,996.11 : 493,911.69 = 221,981.11 : x
  2. Step 2: Convert to fraction form
    357,996.11/493,911.69 = 221,981.11/x
  3. Step 3: Cross multiply
    357,996.11x = 493,911.69 × 221,981.11
  4. Step 4: Simplify right side
    357,996.11x = 109,639,065,188.18
  5. Step 5: Solve for x
    x = 109,639,065,188.18/357,996.11
  6. Step 6: Final answer
    x = 306,257.70

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Why These Related Problems?

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