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Finding the Fourth Proportional to 476,494.62, 657,570.06 and 261,654

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Solution

The fourth proportional to 476,494.62, 657,570.06 and 261,654 is: 361,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,494.62 : 657,570.06 = 261,654 : x
  2. Step 2: Convert to fraction form
    476,494.62/657,570.06 = 261,654/x
  3. Step 3: Cross multiply
    476,494.62x = 657,570.06 × 261,654
  4. Step 4: Simplify right side
    476,494.62x = 172,055,836,479.24
  5. Step 5: Solve for x
    x = 172,055,836,479.24/476,494.62
  6. Step 6: Final answer
    x = 361,086.63

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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.