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Finding the Fourth Proportional to 493,295.96, 680,749.32 and 266,941.52

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Solution

The fourth proportional to 493,295.96, 680,749.32 and 266,941.52 is: 368,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,295.96 : 680,749.32 = 266,941.52 : x
  2. Step 2: Convert to fraction form
    493,295.96/680,749.32 = 266,941.52/x
  3. Step 3: Cross multiply
    493,295.96x = 680,749.32 × 266,941.52
  4. Step 4: Simplify right side
    493,295.96x = 181,720,258,219.77
  5. Step 5: Solve for x
    x = 181,720,258,219.77/493,295.96
  6. Step 6: Final answer
    x = 368,379.78

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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.