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Finding the Fourth Proportional to 590,261.28, 814,478.40 and 335,584.32

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Solution

The fourth proportional to 590,261.28, 814,478.40 and 335,584.32 is: 463,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,261.28 : 814,478.40 = 335,584.32 : x
  2. Step 2: Convert to fraction form
    590,261.28/814,478.40 = 335,584.32/x
  3. Step 3: Cross multiply
    590,261.28x = 814,478.40 × 335,584.32
  4. Step 4: Simplify right side
    590,261.28x = 273,326,180,018.69
  5. Step 5: Solve for x
    x = 273,326,180,018.69/590,261.28
  6. Step 6: Final answer
    x = 463,059.65

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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.