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Finding the Fourth Proportional to 413,309.22, 570,635.70 and 252,257.64

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Solution

The fourth proportional to 413,309.22, 570,635.70 and 252,257.64 is: 348,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,309.22 : 570,635.70 = 252,257.64 : x
  2. Step 2: Convert to fraction form
    413,309.22/570,635.70 = 252,257.64/x
  3. Step 3: Cross multiply
    413,309.22x = 570,635.70 × 252,257.64
  4. Step 4: Simplify right side
    413,309.22x = 143,947,214,981.75
  5. Step 5: Solve for x
    x = 143,947,214,981.75/413,309.22
  6. Step 6: Final answer
    x = 348,279.71

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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.