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Finding the Fourth Proportional to 471,003.47, 649,978.67 and 256,138.93

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Solution

The fourth proportional to 471,003.47, 649,978.67 and 256,138.93 is: 353,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,003.47 : 649,978.67 = 256,138.93 : x
  2. Step 2: Convert to fraction form
    471,003.47/649,978.67 = 256,138.93/x
  3. Step 3: Cross multiply
    471,003.47x = 649,978.67 × 256,138.93
  4. Step 4: Simplify right side
    471,003.47x = 166,484,840,072.02
  5. Step 5: Solve for x
    x = 166,484,840,072.02/471,003.47
  6. Step 6: Final answer
    x = 353,468.39

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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.