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Finding the Fourth Proportional to 365,431.34, 504,298.84 and 204,295.20

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Solution

The fourth proportional to 365,431.34, 504,298.84 and 204,295.20 is: 281,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,431.34 : 504,298.84 = 204,295.20 : x
  2. Step 2: Convert to fraction form
    365,431.34/504,298.84 = 204,295.20/x
  3. Step 3: Cross multiply
    365,431.34x = 504,298.84 × 204,295.20
  4. Step 4: Simplify right side
    365,431.34x = 103,025,832,377.57
  5. Step 5: Solve for x
    x = 103,025,832,377.57/365,431.34
  6. Step 6: Final answer
    x = 281,929.38

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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.