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Finding the Fourth Proportional to 413,226.77, 570,209.12 and 231,958.64

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Solution

The fourth proportional to 413,226.77, 570,209.12 and 231,958.64 is: 320,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,226.77 : 570,209.12 = 231,958.64 : x
  2. Step 2: Convert to fraction form
    413,226.77/570,209.12 = 231,958.64/x
  3. Step 3: Cross multiply
    413,226.77x = 570,209.12 × 231,958.64
  4. Step 4: Simplify right side
    413,226.77x = 132,264,927,979.96
  5. Step 5: Solve for x
    x = 132,264,927,979.96/413,226.77
  6. Step 6: Final answer
    x = 320,078.32

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Half scale
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Double scale
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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.