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Finding the Fourth Proportional to 476,813.04, 657,999.24 and 261,948.48

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Solution

The fourth proportional to 476,813.04, 657,999.24 and 261,948.48 is: 361,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,813.04 : 657,999.24 = 261,948.48 : x
  2. Step 2: Convert to fraction form
    476,813.04/657,999.24 = 261,948.48/x
  3. Step 3: Cross multiply
    476,813.04x = 657,999.24 × 261,948.48
  4. Step 4: Simplify right side
    476,813.04x = 172,361,900,759.16
  5. Step 5: Solve for x
    x = 172,361,900,759.16/476,813.04
  6. Step 6: Final answer
    x = 361,487.39

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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.