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Finding the Fourth Proportional to 314,251.65, 470,056.37 and 264,908.81

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Solution

The fourth proportional to 314,251.65, 470,056.37 and 264,908.81 is: 396,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,251.65 : 470,056.37 = 264,908.81 : x
  2. Step 2: Convert to fraction form
    314,251.65/470,056.37 = 264,908.81/x
  3. Step 3: Cross multiply
    314,251.65x = 470,056.37 × 264,908.81
  4. Step 4: Simplify right side
    314,251.65x = 124,522,073,460.22
  5. Step 5: Solve for x
    x = 124,522,073,460.22/314,251.65
  6. Step 6: Final answer
    x = 396,249.55

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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.