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Finding the Fourth Proportional to 598,752.64, 826,383.36 and 357,049.60

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Solution

The fourth proportional to 598,752.64, 826,383.36 and 357,049.60 is: 492,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,752.64 : 826,383.36 = 357,049.60 : x
  2. Step 2: Convert to fraction form
    598,752.64/826,383.36 = 357,049.60/x
  3. Step 3: Cross multiply
    598,752.64x = 826,383.36 × 357,049.60
  4. Step 4: Simplify right side
    598,752.64x = 295,059,848,134.66
  5. Step 5: Solve for x
    x = 295,059,848,134.66/598,752.64
  6. Step 6: Final answer
    x = 492,790.89

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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.