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Finding the Fourth Proportional to 476,563.23, 657,657.25 and 261,706.88

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Solution

The fourth proportional to 476,563.23, 657,657.25 and 261,706.88 is: 361,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,563.23 : 657,657.25 = 261,706.88 : x
  2. Step 2: Convert to fraction form
    476,563.23/657,657.25 = 261,706.88/x
  3. Step 3: Cross multiply
    476,563.23x = 657,657.25 × 261,706.88
  4. Step 4: Simplify right side
    476,563.23x = 172,113,427,996.76
  5. Step 5: Solve for x
    x = 172,113,427,996.76/476,563.23
  6. Step 6: Final answer
    x = 361,155.49

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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.