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Finding the Fourth Proportional to 647,051.76, 970,577.72 and 197,773.92

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Solution

The fourth proportional to 647,051.76, 970,577.72 and 197,773.92 is: 296,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,051.76 : 970,577.72 = 197,773.92 : x
  2. Step 2: Convert to fraction form
    647,051.76/970,577.72 = 197,773.92/x
  3. Step 3: Cross multiply
    647,051.76x = 970,577.72 × 197,773.92
  4. Step 4: Simplify right side
    647,051.76x = 191,954,960,349.06
  5. Step 5: Solve for x
    x = 191,954,960,349.06/647,051.76
  6. Step 6: Final answer
    x = 296,660.90

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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.