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Finding the Fourth Proportional to 475,937.86, 713,903.19 and 156,311.57

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Solution

The fourth proportional to 475,937.86, 713,903.19 and 156,311.57 is: 234,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,937.86 : 713,903.19 = 156,311.57 : x
  2. Step 2: Convert to fraction form
    475,937.86/713,903.19 = 156,311.57/x
  3. Step 3: Cross multiply
    475,937.86x = 713,903.19 × 156,311.57
  4. Step 4: Simplify right side
    475,937.86x = 111,591,324,887.39
  5. Step 5: Solve for x
    x = 111,591,324,887.39/475,937.86
  6. Step 6: Final answer
    x = 234,466.17

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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.