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Finding the Fourth Proportional to 590,456.28, 814,895.24 and 332,341.08

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Solution

The fourth proportional to 590,456.28, 814,895.24 and 332,341.08 is: 458,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,456.28 : 814,895.24 = 332,341.08 : x
  2. Step 2: Convert to fraction form
    590,456.28/814,895.24 = 332,341.08/x
  3. Step 3: Cross multiply
    590,456.28x = 814,895.24 × 332,341.08
  4. Step 4: Simplify right side
    590,456.28x = 270,823,159,430.90
  5. Step 5: Solve for x
    x = 270,823,159,430.90/590,456.28
  6. Step 6: Final answer
    x = 458,667.59

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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.