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Finding the Fourth Proportional to 289,602.96, 399,415.14 and 203,845.83

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Solution

The fourth proportional to 289,602.96, 399,415.14 and 203,845.83 is: 281,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,602.96 : 399,415.14 = 203,845.83 : x
  2. Step 2: Convert to fraction form
    289,602.96/399,415.14 = 203,845.83/x
  3. Step 3: Cross multiply
    289,602.96x = 399,415.14 × 203,845.83
  4. Step 4: Simplify right side
    289,602.96x = 81,419,110,727.87
  5. Step 5: Solve for x
    x = 81,419,110,727.87/289,602.96
  6. Step 6: Final answer
    x = 281,140.46

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1.5x scale

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.