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Finding the Fourth Proportional to 590,086.60, 814,179.54 and 335,417.74

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Solution

The fourth proportional to 590,086.60, 814,179.54 and 335,417.74 is: 462,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,086.60 : 814,179.54 = 335,417.74 : x
  2. Step 2: Convert to fraction form
    590,086.60/814,179.54 = 335,417.74/x
  3. Step 3: Cross multiply
    590,086.60x = 814,179.54 × 335,417.74
  4. Step 4: Simplify right side
    590,086.60x = 273,090,261,261.04
  5. Step 5: Solve for x
    x = 273,090,261,261.04/590,086.60
  6. Step 6: Final answer
    x = 462,796.92

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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.