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Finding the Fourth Proportional to 590,288.30, 814,393.41 and 332,123.66

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Solution

The fourth proportional to 590,288.30, 814,393.41 and 332,123.66 is: 458,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,288.30 : 814,393.41 = 332,123.66 : x
  2. Step 2: Convert to fraction form
    590,288.30/814,393.41 = 332,123.66/x
  3. Step 3: Cross multiply
    590,288.30x = 814,393.41 × 332,123.66
  4. Step 4: Simplify right side
    590,288.30x = 270,479,320,009.08
  5. Step 5: Solve for x
    x = 270,479,320,009.08/590,288.30
  6. Step 6: Final answer
    x = 458,215.62

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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.