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Finding the Fourth Proportional to 451,897.92, 677,020.68 and 211,570.92

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Solution

The fourth proportional to 451,897.92, 677,020.68 and 211,570.92 is: 316,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,897.92 : 677,020.68 = 211,570.92 : x
  2. Step 2: Convert to fraction form
    451,897.92/677,020.68 = 211,570.92/x
  3. Step 3: Cross multiply
    451,897.92x = 677,020.68 × 211,570.92
  4. Step 4: Simplify right side
    451,897.92x = 143,237,888,126.63
  5. Step 5: Solve for x
    x = 143,237,888,126.63/451,897.92
  6. Step 6: Final answer
    x = 316,969.57

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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.