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Finding the Fourth Proportional to 523,429.31, 784,714.94 and 186,277.97

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Solution

The fourth proportional to 523,429.31, 784,714.94 and 186,277.97 is: 279,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,429.31 : 784,714.94 = 186,277.97 : x
  2. Step 2: Convert to fraction form
    523,429.31/784,714.94 = 186,277.97/x
  3. Step 3: Cross multiply
    523,429.31x = 784,714.94 × 186,277.97
  4. Step 4: Simplify right side
    523,429.31x = 146,175,107,082.27
  5. Step 5: Solve for x
    x = 146,175,107,082.27/523,429.31
  6. Step 6: Final answer
    x = 279,264.27

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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.