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Finding the Fourth Proportional to 476,596.47, 657,707.67 and 261,741

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Solution

The fourth proportional to 476,596.47, 657,707.67 and 261,741 is: 361,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,596.47 : 657,707.67 = 261,741 : x
  2. Step 2: Convert to fraction form
    476,596.47/657,707.67 = 261,741/x
  3. Step 3: Cross multiply
    476,596.47x = 657,707.67 × 261,741
  4. Step 4: Simplify right side
    476,596.47x = 172,149,063,253.47
  5. Step 5: Solve for x
    x = 172,149,063,253.47/476,596.47
  6. Step 6: Final answer
    x = 361,205.07

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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.