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Finding the Fourth Proportional to 365,265.79, 504,065.32 and 204,120.81

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Solution

The fourth proportional to 365,265.79, 504,065.32 and 204,120.81 is: 281,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,265.79 : 504,065.32 = 204,120.81 : x
  2. Step 2: Convert to fraction form
    365,265.79/504,065.32 = 204,120.81/x
  3. Step 3: Cross multiply
    365,265.79x = 504,065.32 × 204,120.81
  4. Step 4: Simplify right side
    365,265.79x = 102,890,221,411.31
  5. Step 5: Solve for x
    x = 102,890,221,411.31/365,265.79
  6. Step 6: Final answer
    x = 281,685.90

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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.