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Finding the Fourth Proportional to 590,295.17, 814,603.52 and 335,646.33

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Solution

The fourth proportional to 590,295.17, 814,603.52 and 335,646.33 is: 463,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,295.17 : 814,603.52 = 335,646.33 : x
  2. Step 2: Convert to fraction form
    590,295.17/814,603.52 = 335,646.33/x
  3. Step 3: Cross multiply
    590,295.17x = 814,603.52 × 335,646.33
  4. Step 4: Simplify right side
    590,295.17x = 273,418,682,732.20
  5. Step 5: Solve for x
    x = 273,418,682,732.20/590,295.17
  6. Step 6: Final answer
    x = 463,189.77

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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.