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Finding the Fourth Proportional to 470,824.79, 649,742.31 and 255,965.00

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Solution

The fourth proportional to 470,824.79, 649,742.31 and 255,965.00 is: 353,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,824.79 : 649,742.31 = 255,965.00 : x
  2. Step 2: Convert to fraction form
    470,824.79/649,742.31 = 255,965.00/x
  3. Step 3: Cross multiply
    470,824.79x = 649,742.31 × 255,965.00
  4. Step 4: Simplify right side
    470,824.79x = 166,311,287,130.44
  5. Step 5: Solve for x
    x = 166,311,287,130.44/470,824.79
  6. Step 6: Final answer
    x = 353,233.93

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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.