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Finding the Fourth Proportional to 413,186.62, 570,208.89 and 231,909.82

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Solution

The fourth proportional to 413,186.62, 570,208.89 and 231,909.82 is: 320,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,186.62 : 570,208.89 = 231,909.82 : x
  2. Step 2: Convert to fraction form
    413,186.62/570,208.89 = 231,909.82/x
  3. Step 3: Cross multiply
    413,186.62x = 570,208.89 × 231,909.82
  4. Step 4: Simplify right side
    413,186.62x = 132,237,041,042.30
  5. Step 5: Solve for x
    x = 132,237,041,042.30/413,186.62
  6. Step 6: Final answer
    x = 320,041.92

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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.