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Finding the Fourth Proportional to 413,191.29, 570,203.97 and 231,903.22

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Solution

The fourth proportional to 413,191.29, 570,203.97 and 231,903.22 is: 320,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,191.29 : 570,203.97 = 231,903.22 : x
  2. Step 2: Convert to fraction form
    413,191.29/570,203.97 = 231,903.22/x
  3. Step 3: Cross multiply
    413,191.29x = 570,203.97 × 231,903.22
  4. Step 4: Simplify right side
    413,191.29x = 132,232,137,545.54
  5. Step 5: Solve for x
    x = 132,232,137,545.54/413,191.29
  6. Step 6: Final answer
    x = 320,026.44

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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.