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Finding the Fourth Proportional to 379,771.16, 569,743.14 and 202,184.60

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Solution

The fourth proportional to 379,771.16, 569,743.14 and 202,184.60 is: 303,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,771.16 : 569,743.14 = 202,184.60 : x
  2. Step 2: Convert to fraction form
    379,771.16/569,743.14 = 202,184.60/x
  3. Step 3: Cross multiply
    379,771.16x = 569,743.14 × 202,184.60
  4. Step 4: Simplify right side
    379,771.16x = 115,193,288,863.64
  5. Step 5: Solve for x
    x = 115,193,288,863.64/379,771.16
  6. Step 6: Final answer
    x = 303,322.90

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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.