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Finding the Fourth Proportional to 493,195.24, 680,609.70 and 342,379.72

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Solution

The fourth proportional to 493,195.24, 680,609.70 and 342,379.72 is: 472,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,195.24 : 680,609.70 = 342,379.72 : x
  2. Step 2: Convert to fraction form
    493,195.24/680,609.70 = 342,379.72/x
  3. Step 3: Cross multiply
    493,195.24x = 680,609.70 × 342,379.72
  4. Step 4: Simplify right side
    493,195.24x = 233,026,958,515.28
  5. Step 5: Solve for x
    x = 233,026,958,515.28/493,195.24
  6. Step 6: Final answer
    x = 472,484.20

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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.