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Finding the Fourth Proportional to 424,216.48, 585,403.68 and 233,228.48

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Solution

The fourth proportional to 424,216.48, 585,403.68 and 233,228.48 is: 321,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,216.48 : 585,403.68 = 233,228.48 : x
  2. Step 2: Convert to fraction form
    424,216.48/585,403.68 = 233,228.48/x
  3. Step 3: Cross multiply
    424,216.48x = 585,403.68 × 233,228.48
  4. Step 4: Simplify right side
    424,216.48x = 136,532,810,472.81
  5. Step 5: Solve for x
    x = 136,532,810,472.81/424,216.48
  6. Step 6: Final answer
    x = 321,847.02

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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.