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Finding the Fourth Proportional to 476,675.34, 657,817.38 and 261,820.44

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Solution

The fourth proportional to 476,675.34, 657,817.38 and 261,820.44 is: 361,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,675.34 : 657,817.38 = 261,820.44 : x
  2. Step 2: Convert to fraction form
    476,675.34/657,817.38 = 261,820.44/x
  3. Step 3: Cross multiply
    476,675.34x = 657,817.38 × 261,820.44
  4. Step 4: Simplify right side
    476,675.34x = 172,230,035,871.25
  5. Step 5: Solve for x
    x = 172,230,035,871.25/476,675.34
  6. Step 6: Final answer
    x = 361,315.18

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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.