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Finding the Fourth Proportional to 590,036.40, 814,040.24 and 348,198

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Solution

The fourth proportional to 590,036.40, 814,040.24 and 348,198 is: 480,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,036.40 : 814,040.24 = 348,198 : x
  2. Step 2: Convert to fraction form
    590,036.40/814,040.24 = 348,198/x
  3. Step 3: Cross multiply
    590,036.40x = 814,040.24 × 348,198
  4. Step 4: Simplify right side
    590,036.40x = 283,447,183,487.52
  5. Step 5: Solve for x
    x = 283,447,183,487.52/590,036.40
  6. Step 6: Final answer
    x = 480,389.32

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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.