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Finding the Fourth Proportional to 590,165.87, 814,428.95 and 335,517.07

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Solution

The fourth proportional to 590,165.87, 814,428.95 and 335,517.07 is: 463,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,165.87 : 814,428.95 = 335,517.07 : x
  2. Step 2: Convert to fraction form
    590,165.87/814,428.95 = 335,517.07/x
  3. Step 3: Cross multiply
    590,165.87x = 814,428.95 × 335,517.07
  4. Step 4: Simplify right side
    590,165.87x = 273,254,815,027.18
  5. Step 5: Solve for x
    x = 273,254,815,027.18/590,165.87
  6. Step 6: Final answer
    x = 463,013.58

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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.