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Finding the Fourth Proportional to 590,288.80, 814,394.10 and 332,124.16

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Solution

The fourth proportional to 590,288.80, 814,394.10 and 332,124.16 is: 458,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,288.80 : 814,394.10 = 332,124.16 : x
  2. Step 2: Convert to fraction form
    590,288.80/814,394.10 = 332,124.16/x
  3. Step 3: Cross multiply
    590,288.80x = 814,394.10 × 332,124.16
  4. Step 4: Simplify right side
    590,288.80x = 270,479,956,371.46
  5. Step 5: Solve for x
    x = 270,479,956,371.46/590,288.80
  6. Step 6: Final answer
    x = 458,216.31

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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.