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Finding the Fourth Proportional to 420,727.74, 631,321.23 and 243,580.74

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Solution

The fourth proportional to 420,727.74, 631,321.23 and 243,580.74 is: 365,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,727.74 : 631,321.23 = 243,580.74 : x
  2. Step 2: Convert to fraction form
    420,727.74/631,321.23 = 243,580.74/x
  3. Step 3: Cross multiply
    420,727.74x = 631,321.23 × 243,580.74
  4. Step 4: Simplify right side
    420,727.74x = 153,777,692,381.11
  5. Step 5: Solve for x
    x = 153,777,692,381.11/420,727.74
  6. Step 6: Final answer
    x = 365,504.05

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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.