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Finding the Fourth Proportional to 590,557.46, 814,969.06 and 322,285.46

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Solution

The fourth proportional to 590,557.46, 814,969.06 and 322,285.46 is: 444,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,557.46 : 814,969.06 = 322,285.46 : x
  2. Step 2: Convert to fraction form
    590,557.46/814,969.06 = 322,285.46/x
  3. Step 3: Cross multiply
    590,557.46x = 814,969.06 × 322,285.46
  4. Step 4: Simplify right side
    590,557.46x = 262,652,678,387.87
  5. Step 5: Solve for x
    x = 262,652,678,387.87/590,557.46
  6. Step 6: Final answer
    x = 444,753.81

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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.