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Finding the Fourth Proportional to 557,284.84, 769,288.52 and 376,242.01

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Solution

The fourth proportional to 557,284.84, 769,288.52 and 376,242.01 is: 519,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,284.84 : 769,288.52 = 376,242.01 : x
  2. Step 2: Convert to fraction form
    557,284.84/769,288.52 = 376,242.01/x
  3. Step 3: Cross multiply
    557,284.84x = 769,288.52 × 376,242.01
  4. Step 4: Simplify right side
    557,284.84x = 289,438,659,034.73
  5. Step 5: Solve for x
    x = 289,438,659,034.73/557,284.84
  6. Step 6: Final answer
    x = 519,372.93

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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.