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Finding the Fourth Proportional to 377,117.94, 565,677 and 110,879.76

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Solution

The fourth proportional to 377,117.94, 565,677 and 110,879.76 is: 166,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,117.94 : 565,677 = 110,879.76 : x
  2. Step 2: Convert to fraction form
    377,117.94/565,677 = 110,879.76/x
  3. Step 3: Cross multiply
    377,117.94x = 565,677 × 110,879.76
  4. Step 4: Simplify right side
    377,117.94x = 62,722,129,997.52
  5. Step 5: Solve for x
    x = 62,722,129,997.52/377,117.94
  6. Step 6: Final answer
    x = 166,319.67

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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.