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Finding the Fourth Proportional to 590,331.56, 814,657.70 and 335,698.36

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Solution

The fourth proportional to 590,331.56, 814,657.70 and 335,698.36 is: 463,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,331.56 : 814,657.70 = 335,698.36 : x
  2. Step 2: Convert to fraction form
    590,331.56/814,657.70 = 335,698.36/x
  3. Step 3: Cross multiply
    590,331.56x = 814,657.70 × 335,698.36
  4. Step 4: Simplify right side
    590,331.56x = 273,479,253,851.37
  5. Step 5: Solve for x
    x = 273,479,253,851.37/590,331.56
  6. Step 6: Final answer
    x = 463,263.82

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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.