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Finding the Fourth Proportional to 601,974, 830,724.12 and 347,325.19

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Solution

The fourth proportional to 601,974, 830,724.12 and 347,325.19 is: 479,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,974 : 830,724.12 = 347,325.19 : x
  2. Step 2: Convert to fraction form
    601,974/830,724.12 = 347,325.19/x
  3. Step 3: Cross multiply
    601,974x = 830,724.12 × 347,325.19
  4. Step 4: Simplify right side
    601,974x = 288,531,410,739.77
  5. Step 5: Solve for x
    x = 288,531,410,739.77/601,974
  6. Step 6: Final answer
    x = 479,308.76

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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.