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Finding the Fourth Proportional to 413,193.29, 570,206.73 and 231,905.22

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Solution

The fourth proportional to 413,193.29, 570,206.73 and 231,905.22 is: 320,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,193.29 : 570,206.73 = 231,905.22 : x
  2. Step 2: Convert to fraction form
    413,193.29/570,206.73 = 231,905.22/x
  3. Step 3: Cross multiply
    413,193.29x = 570,206.73 × 231,905.22
  4. Step 4: Simplify right side
    413,193.29x = 132,233,917,166.13
  5. Step 5: Solve for x
    x = 132,233,917,166.13/413,193.29
  6. Step 6: Final answer
    x = 320,029.20

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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.