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Finding the Fourth Proportional to 413,309.39, 570,366.74 and 232,021.67

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Solution

The fourth proportional to 413,309.39, 570,366.74 and 232,021.67 is: 320,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,309.39 : 570,366.74 = 232,021.67 : x
  2. Step 2: Convert to fraction form
    413,309.39/570,366.74 = 232,021.67/x
  3. Step 3: Cross multiply
    413,309.39x = 570,366.74 × 232,021.67
  4. Step 4: Simplify right side
    413,309.39x = 132,337,442,367.15
  5. Step 5: Solve for x
    x = 132,337,442,367.15/413,309.39
  6. Step 6: Final answer
    x = 320,189.78

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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.