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Finding the Fourth Proportional to 291,025.92, 401,612.88 and 161,962.20

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Solution

The fourth proportional to 291,025.92, 401,612.88 and 161,962.20 is: 223,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,025.92 : 401,612.88 = 161,962.20 : x
  2. Step 2: Convert to fraction form
    291,025.92/401,612.88 = 161,962.20/x
  3. Step 3: Cross multiply
    291,025.92x = 401,612.88 × 161,962.20
  4. Step 4: Simplify right side
    291,025.92x = 65,046,105,593.14
  5. Step 5: Solve for x
    x = 65,046,105,593.14/291,025.92
  6. Step 6: Final answer
    x = 223,506.23

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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.