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Finding the Fourth Proportional to 476,107.71, 657,026.82 and 261,251.37

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Solution

The fourth proportional to 476,107.71, 657,026.82 and 261,251.37 is: 360,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,107.71 : 657,026.82 = 261,251.37 : x
  2. Step 2: Convert to fraction form
    476,107.71/657,026.82 = 261,251.37/x
  3. Step 3: Cross multiply
    476,107.71x = 657,026.82 × 261,251.37
  4. Step 4: Simplify right side
    476,107.71x = 171,649,156,851.74
  5. Step 5: Solve for x
    x = 171,649,156,851.74/476,107.71
  6. Step 6: Final answer
    x = 360,525.89

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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.