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Finding the Fourth Proportional to 409,768.38, 565,269.60 and 273,758.88

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Solution

The fourth proportional to 409,768.38, 565,269.60 and 273,758.88 is: 377,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,768.38 : 565,269.60 = 273,758.88 : x
  2. Step 2: Convert to fraction form
    409,768.38/565,269.60 = 273,758.88/x
  3. Step 3: Cross multiply
    409,768.38x = 565,269.60 × 273,758.88
  4. Step 4: Simplify right side
    409,768.38x = 154,747,572,594.05
  5. Step 5: Solve for x
    x = 154,747,572,594.05/409,768.38
  6. Step 6: Final answer
    x = 377,646.45

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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.