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Finding the Fourth Proportional to 590,002.28, 814,201.36 and 335,402.52

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Solution

The fourth proportional to 590,002.28, 814,201.36 and 335,402.52 is: 462,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,002.28 : 814,201.36 = 335,402.52 : x
  2. Step 2: Convert to fraction form
    590,002.28/814,201.36 = 335,402.52/x
  3. Step 3: Cross multiply
    590,002.28x = 814,201.36 × 335,402.52
  4. Step 4: Simplify right side
    590,002.28x = 273,085,187,931.43
  5. Step 5: Solve for x
    x = 273,085,187,931.43/590,002.28
  6. Step 6: Final answer
    x = 462,854.46

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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.