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Finding the Fourth Proportional to 378,071.27, 566,173.18 and 281,777.61

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Solution

The fourth proportional to 378,071.27, 566,173.18 and 281,777.61 is: 421,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,071.27 : 566,173.18 = 281,777.61 : x
  2. Step 2: Convert to fraction form
    378,071.27/566,173.18 = 281,777.61/x
  3. Step 3: Cross multiply
    378,071.27x = 566,173.18 × 281,777.61
  4. Step 4: Simplify right side
    378,071.27x = 159,534,924,802.06
  5. Step 5: Solve for x
    x = 159,534,924,802.06/378,071.27
  6. Step 6: Final answer
    x = 421,970.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.