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Finding the Fourth Proportional to 352,224.32, 486,018 and 201,292.16

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Solution

The fourth proportional to 352,224.32, 486,018 and 201,292.16 is: 277,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,224.32 : 486,018 = 201,292.16 : x
  2. Step 2: Convert to fraction form
    352,224.32/486,018 = 201,292.16/x
  3. Step 3: Cross multiply
    352,224.32x = 486,018 × 201,292.16
  4. Step 4: Simplify right side
    352,224.32x = 97,831,613,018.88
  5. Step 5: Solve for x
    x = 97,831,613,018.88/352,224.32
  6. Step 6: Final answer
    x = 277,753.71

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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.