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Finding the Fourth Proportional to 443,412.64, 611,728.20 and 327,404.16

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Solution

The fourth proportional to 443,412.64, 611,728.20 and 327,404.16 is: 451,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,412.64 : 611,728.20 = 327,404.16 : x
  2. Step 2: Convert to fraction form
    443,412.64/611,728.20 = 327,404.16/x
  3. Step 3: Cross multiply
    443,412.64x = 611,728.20 × 327,404.16
  4. Step 4: Simplify right side
    443,412.64x = 200,282,357,469.31
  5. Step 5: Solve for x
    x = 200,282,357,469.31/443,412.64
  6. Step 6: Final answer
    x = 451,683.92

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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.