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Finding the Fourth Proportional to 400,844.16, 601,265.16 and 164,187

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Solution

The fourth proportional to 400,844.16, 601,265.16 and 164,187 is: 246,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,844.16 : 601,265.16 = 164,187 : x
  2. Step 2: Convert to fraction form
    400,844.16/601,265.16 = 164,187/x
  3. Step 3: Cross multiply
    400,844.16x = 601,265.16 × 164,187
  4. Step 4: Simplify right side
    400,844.16x = 98,719,922,824.92
  5. Step 5: Solve for x
    x = 98,719,922,824.92/400,844.16
  6. Step 6: Final answer
    x = 246,280.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.