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Finding the Fourth Proportional to 284,884.39, 393,096.78 and 164,002.32

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Solution

The fourth proportional to 284,884.39, 393,096.78 and 164,002.32 is: 226,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,884.39 : 393,096.78 = 164,002.32 : x
  2. Step 2: Convert to fraction form
    284,884.39/393,096.78 = 164,002.32/x
  3. Step 3: Cross multiply
    284,884.39x = 393,096.78 × 164,002.32
  4. Step 4: Simplify right side
    284,884.39x = 64,468,783,904.53
  5. Step 5: Solve for x
    x = 64,468,783,904.53/284,884.39
  6. Step 6: Final answer
    x = 226,298.06

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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.