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Finding the Fourth Proportional to 413,351.34, 570,393.30 and 232,028.25

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Solution

The fourth proportional to 413,351.34, 570,393.30 and 232,028.25 is: 320,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,351.34 : 570,393.30 = 232,028.25 : x
  2. Step 2: Convert to fraction form
    413,351.34/570,393.30 = 232,028.25/x
  3. Step 3: Cross multiply
    413,351.34x = 570,393.30 × 232,028.25
  4. Step 4: Simplify right side
    413,351.34x = 132,347,359,210.73
  5. Step 5: Solve for x
    x = 132,347,359,210.73/413,351.34
  6. Step 6: Final answer
    x = 320,181.28

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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.