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Finding the Fourth Proportional to 493,202.37, 680,546.28 and 299,509.35

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Solution

The fourth proportional to 493,202.37, 680,546.28 and 299,509.35 is: 413,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,202.37 : 680,546.28 = 299,509.35 : x
  2. Step 2: Convert to fraction form
    493,202.37/680,546.28 = 299,509.35/x
  3. Step 3: Cross multiply
    493,202.37x = 680,546.28 × 299,509.35
  4. Step 4: Simplify right side
    493,202.37x = 203,829,973,967.72
  5. Step 5: Solve for x
    x = 203,829,973,967.72/493,202.37
  6. Step 6: Final answer
    x = 413,278.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.