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Finding the Fourth Proportional to 557,264.08, 769,011.42 and 327,836.14

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Solution

The fourth proportional to 557,264.08, 769,011.42 and 327,836.14 is: 452,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,264.08 : 769,011.42 = 327,836.14 : x
  2. Step 2: Convert to fraction form
    557,264.08/769,011.42 = 327,836.14/x
  3. Step 3: Cross multiply
    557,264.08x = 769,011.42 × 327,836.14
  4. Step 4: Simplify right side
    557,264.08x = 252,109,732,396.81
  5. Step 5: Solve for x
    x = 252,109,732,396.81/557,264.08
  6. Step 6: Final answer
    x = 452,406.21

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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.