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Finding the Fourth Proportional to 413,309.14, 570,366.39 and 232,021.42

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Solution

The fourth proportional to 413,309.14, 570,366.39 and 232,021.42 is: 320,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,309.14 : 570,366.39 = 232,021.42 : x
  2. Step 2: Convert to fraction form
    413,309.14/570,366.39 = 232,021.42/x
  3. Step 3: Cross multiply
    413,309.14x = 570,366.39 × 232,021.42
  4. Step 4: Simplify right side
    413,309.14x = 132,337,219,728.07
  5. Step 5: Solve for x
    x = 132,337,219,728.07/413,309.14
  6. Step 6: Final answer
    x = 320,189.43

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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.