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Finding the Fourth Proportional to 557,284.34, 769,287.83 and 376,241.51

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Solution

The fourth proportional to 557,284.34, 769,287.83 and 376,241.51 is: 519,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,284.34 : 769,287.83 = 376,241.51 : x
  2. Step 2: Convert to fraction form
    557,284.34/769,287.83 = 376,241.51/x
  3. Step 3: Cross multiply
    557,284.34x = 769,287.83 × 376,241.51
  4. Step 4: Simplify right side
    557,284.34x = 289,438,014,783.82
  5. Step 5: Solve for x
    x = 289,438,014,783.82/557,284.34
  6. Step 6: Final answer
    x = 519,372.24

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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.