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Finding the Fourth Proportional to 291,613.10, 402,450 and 164,297.30

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Solution

The fourth proportional to 291,613.10, 402,450 and 164,297.30 is: 226,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,613.10 : 402,450 = 164,297.30 : x
  2. Step 2: Convert to fraction form
    291,613.10/402,450 = 164,297.30/x
  3. Step 3: Cross multiply
    291,613.10x = 402,450 × 164,297.30
  4. Step 4: Simplify right side
    291,613.10x = 66,121,448,385.00
  5. Step 5: Solve for x
    x = 66,121,448,385.00/291,613.10
  6. Step 6: Final answer
    x = 226,743.75

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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.