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Finding the Fourth Proportional to 476,709.40, 657,863.22 and 261,853.84

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Solution

The fourth proportional to 476,709.40, 657,863.22 and 261,853.84 is: 361,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,709.40 : 657,863.22 = 261,853.84 : x
  2. Step 2: Convert to fraction form
    476,709.40/657,863.22 = 261,853.84/x
  3. Step 3: Cross multiply
    476,709.40x = 657,863.22 × 261,853.84
  4. Step 4: Simplify right side
    476,709.40x = 172,264,010,351.77
  5. Step 5: Solve for x
    x = 172,264,010,351.77/476,709.40
  6. Step 6: Final answer
    x = 361,360.63

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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.