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Finding the Fourth Proportional to 493,184.74, 680,595.21 and 342,369.22

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Solution

The fourth proportional to 493,184.74, 680,595.21 and 342,369.22 is: 472,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,184.74 : 680,595.21 = 342,369.22 : x
  2. Step 2: Convert to fraction form
    493,184.74/680,595.21 = 342,369.22/x
  3. Step 3: Cross multiply
    493,184.74x = 680,595.21 × 342,369.22
  4. Step 4: Simplify right side
    493,184.74x = 233,014,851,183.44
  5. Step 5: Solve for x
    x = 233,014,851,183.44/493,184.74
  6. Step 6: Final answer
    x = 472,469.71

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Double scale
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1.5x scale

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.