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Finding the Fourth Proportional to 289,803, 399,792.06 and 204,966.84

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Solution

The fourth proportional to 289,803, 399,792.06 and 204,966.84 is: 282,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,803 : 399,792.06 = 204,966.84 : x
  2. Step 2: Convert to fraction form
    289,803/399,792.06 = 204,966.84/x
  3. Step 3: Cross multiply
    289,803x = 399,792.06 × 204,966.84
  4. Step 4: Simplify right side
    289,803x = 81,944,115,195.29
  5. Step 5: Solve for x
    x = 81,944,115,195.29/289,803
  6. Step 6: Final answer
    x = 282,757.99

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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.