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Finding the Fourth Proportional to 651,147.76, 976,758.50 and 201,932.49

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Solution

The fourth proportional to 651,147.76, 976,758.50 and 201,932.49 is: 302,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,147.76 : 976,758.50 = 201,932.49 : x
  2. Step 2: Convert to fraction form
    651,147.76/976,758.50 = 201,932.49/x
  3. Step 3: Cross multiply
    651,147.76x = 976,758.50 × 201,932.49
  4. Step 4: Simplify right side
    651,147.76x = 197,239,276,033.67
  5. Step 5: Solve for x
    x = 197,239,276,033.67/651,147.76
  6. Step 6: Final answer
    x = 302,910.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.