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Finding the Fourth Proportional to 590,335.36, 814,661.76 and 322,063.36

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Solution

The fourth proportional to 590,335.36, 814,661.76 and 322,063.36 is: 444,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,335.36 : 814,661.76 = 322,063.36 : x
  2. Step 2: Convert to fraction form
    590,335.36/814,661.76 = 322,063.36/x
  3. Step 3: Cross multiply
    590,335.36x = 814,661.76 × 322,063.36
  4. Step 4: Simplify right side
    590,335.36x = 262,372,703,689.11
  5. Step 5: Solve for x
    x = 262,372,703,689.11/590,335.36
  6. Step 6: Final answer
    x = 444,446.87

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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.