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Finding the Fourth Proportional to 413,560.30, 570,713.34 and 232,272.49

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Solution

The fourth proportional to 413,560.30, 570,713.34 and 232,272.49 is: 320,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,560.30 : 570,713.34 = 232,272.49 : x
  2. Step 2: Convert to fraction form
    413,560.30/570,713.34 = 232,272.49/x
  3. Step 3: Cross multiply
    413,560.30x = 570,713.34 × 232,272.49
  4. Step 4: Simplify right side
    413,560.30x = 132,561,008,558.02
  5. Step 5: Solve for x
    x = 132,561,008,558.02/413,560.30
  6. Step 6: Final answer
    x = 320,536.11

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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.