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Finding the Fourth Proportional to 590,053.72, 814,266.66 and 335,388.28

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Solution

The fourth proportional to 590,053.72, 814,266.66 and 335,388.28 is: 462,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,053.72 : 814,266.66 = 335,388.28 : x
  2. Step 2: Convert to fraction form
    590,053.72/814,266.66 = 335,388.28/x
  3. Step 3: Cross multiply
    590,053.72x = 814,266.66 × 335,388.28
  4. Step 4: Simplify right side
    590,053.72x = 273,095,494,558.75
  5. Step 5: Solve for x
    x = 273,095,494,558.75/590,053.72
  6. Step 6: Final answer
    x = 462,831.58

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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.