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Finding the Fourth Proportional to 413,169.12, 570,184.74 and 231,892.32

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Solution

The fourth proportional to 413,169.12, 570,184.74 and 231,892.32 is: 320,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,169.12 : 570,184.74 = 231,892.32 : x
  2. Step 2: Convert to fraction form
    413,169.12/570,184.74 = 231,892.32/x
  3. Step 3: Cross multiply
    413,169.12x = 570,184.74 × 231,892.32
  4. Step 4: Simplify right side
    413,169.12x = 132,221,462,187.20
  5. Step 5: Solve for x
    x = 132,221,462,187.20/413,169.12
  6. Step 6: Final answer
    x = 320,017.77

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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.