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Finding the Fourth Proportional to 590,297.29, 814,606.45 and 335,648.46

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Solution

The fourth proportional to 590,297.29, 814,606.45 and 335,648.46 is: 463,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,297.29 : 814,606.45 = 335,648.46 : x
  2. Step 2: Convert to fraction form
    590,297.29/814,606.45 = 335,648.46/x
  3. Step 3: Cross multiply
    590,297.29x = 814,606.45 × 335,648.46
  4. Step 4: Simplify right side
    590,297.29x = 273,421,400,448.57
  5. Step 5: Solve for x
    x = 273,421,400,448.57/590,297.29
  6. Step 6: Final answer
    x = 463,192.71

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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.