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Finding the Fourth Proportional to 590,328.82, 814,629.63 and 348,689.62

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Solution

The fourth proportional to 590,328.82, 814,629.63 and 348,689.62 is: 481,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,328.82 : 814,629.63 = 348,689.62 : x
  2. Step 2: Convert to fraction form
    590,328.82/814,629.63 = 348,689.62/x
  3. Step 3: Cross multiply
    590,328.82x = 814,629.63 × 348,689.62
  4. Step 4: Simplify right side
    590,328.82x = 284,052,896,125.44
  5. Step 5: Solve for x
    x = 284,052,896,125.44/590,328.82
  6. Step 6: Final answer
    x = 481,177.42

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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.