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Finding the Fourth Proportional to 590,002.78, 814,202.05 and 335,403.02

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Solution

The fourth proportional to 590,002.78, 814,202.05 and 335,403.02 is: 462,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,002.78 : 814,202.05 = 335,403.02 : x
  2. Step 2: Convert to fraction form
    590,002.78/814,202.05 = 335,403.02/x
  3. Step 3: Cross multiply
    590,002.78x = 814,202.05 × 335,403.02
  4. Step 4: Simplify right side
    590,002.78x = 273,085,826,460.19
  5. Step 5: Solve for x
    x = 273,085,826,460.19/590,002.78
  6. Step 6: Final answer
    x = 462,855.15

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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.