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Finding the Fourth Proportional to 476,714.43, 657,848.22 and 261,841.68

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Solution

The fourth proportional to 476,714.43, 657,848.22 and 261,841.68 is: 361,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,714.43 : 657,848.22 = 261,841.68 : x
  2. Step 2: Convert to fraction form
    476,714.43/657,848.22 = 261,841.68/x
  3. Step 3: Cross multiply
    476,714.43x = 657,848.22 × 261,841.68
  4. Step 4: Simplify right side
    476,714.43x = 172,252,083,109.81
  5. Step 5: Solve for x
    x = 172,252,083,109.81/476,714.43
  6. Step 6: Final answer
    x = 361,331.80

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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.