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Finding the Fourth Proportional to 576,682.86, 865,209.36 and 277,185.16

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Solution

The fourth proportional to 576,682.86, 865,209.36 and 277,185.16 is: 415,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,682.86 : 865,209.36 = 277,185.16 : x
  2. Step 2: Convert to fraction form
    576,682.86/865,209.36 = 277,185.16/x
  3. Step 3: Cross multiply
    576,682.86x = 865,209.36 × 277,185.16
  4. Step 4: Simplify right side
    576,682.86x = 239,823,194,885.10
  5. Step 5: Solve for x
    x = 239,823,194,885.10/576,682.86
  6. Step 6: Final answer
    x = 415,866.69

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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.