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Finding the Fourth Proportional to 576,537.57, 864,964.89 and 277,268.49

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Solution

The fourth proportional to 576,537.57, 864,964.89 and 277,268.49 is: 415,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,537.57 : 864,964.89 = 277,268.49 : x
  2. Step 2: Convert to fraction form
    576,537.57/864,964.89 = 277,268.49/x
  3. Step 3: Cross multiply
    576,537.57x = 864,964.89 × 277,268.49
  4. Step 4: Simplify right side
    576,537.57x = 239,827,508,953.32
  5. Step 5: Solve for x
    x = 239,827,508,953.32/576,537.57
  6. Step 6: Final answer
    x = 415,978.98

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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.