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Finding the Fourth Proportional to 468,446, 702,688.44 and 136,022

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Solution

The fourth proportional to 468,446, 702,688.44 and 136,022 is: 204,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,446 : 702,688.44 = 136,022 : x
  2. Step 2: Convert to fraction form
    468,446/702,688.44 = 136,022/x
  3. Step 3: Cross multiply
    468,446x = 702,688.44 × 136,022
  4. Step 4: Simplify right side
    468,446x = 95,581,086,985.68
  5. Step 5: Solve for x
    x = 95,581,086,985.68/468,446
  6. Step 6: Final answer
    x = 204,038.64

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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.