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Finding the Fourth Proportional to 601,989.12, 830,713.23 and 343,815.31

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Solution

The fourth proportional to 601,989.12, 830,713.23 and 343,815.31 is: 474,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,989.12 : 830,713.23 = 343,815.31 : x
  2. Step 2: Convert to fraction form
    601,989.12/830,713.23 = 343,815.31/x
  3. Step 3: Cross multiply
    601,989.12x = 830,713.23 × 343,815.31
  4. Step 4: Simplify right side
    601,989.12x = 285,611,926,693.55
  5. Step 5: Solve for x
    x = 285,611,926,693.55/601,989.12
  6. Step 6: Final answer
    x = 474,446.99

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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.