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Finding the Fourth Proportional to 363,484.26, 501,618.87 and 200,157.65

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Solution

The fourth proportional to 363,484.26, 501,618.87 and 200,157.65 is: 276,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,484.26 : 501,618.87 = 200,157.65 : x
  2. Step 2: Convert to fraction form
    363,484.26/501,618.87 = 200,157.65/x
  3. Step 3: Cross multiply
    363,484.26x = 501,618.87 × 200,157.65
  4. Step 4: Simplify right side
    363,484.26x = 100,402,851,706.76
  5. Step 5: Solve for x
    x = 100,402,851,706.76/363,484.26
  6. Step 6: Final answer
    x = 276,223.38

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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.