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Finding the Fourth Proportional to 590,458.28, 814,898 and 332,343.08

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Solution

The fourth proportional to 590,458.28, 814,898 and 332,343.08 is: 458,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,458.28 : 814,898 = 332,343.08 : x
  2. Step 2: Convert to fraction form
    590,458.28/814,898 = 332,343.08/x
  3. Step 3: Cross multiply
    590,458.28x = 814,898 × 332,343.08
  4. Step 4: Simplify right side
    590,458.28x = 270,825,711,205.84
  5. Step 5: Solve for x
    x = 270,825,711,205.84/590,458.28
  6. Step 6: Final answer
    x = 458,670.36

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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.