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Finding the Fourth Proportional to 587,402.94, 881,105.10 and 160,942.38

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Solution

The fourth proportional to 587,402.94, 881,105.10 and 160,942.38 is: 241,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,402.94 : 881,105.10 = 160,942.38 : x
  2. Step 2: Convert to fraction form
    587,402.94/881,105.10 = 160,942.38/x
  3. Step 3: Cross multiply
    587,402.94x = 881,105.10 × 160,942.38
  4. Step 4: Simplify right side
    587,402.94x = 141,807,151,824.14
  5. Step 5: Solve for x
    x = 141,807,151,824.14/587,402.94
  6. Step 6: Final answer
    x = 241,413.76

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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.