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Finding the Fourth Proportional to 424,524.20, 585,831.14 and 233,537.64

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Solution

The fourth proportional to 424,524.20, 585,831.14 and 233,537.64 is: 322,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,524.20 : 585,831.14 = 233,537.64 : x
  2. Step 2: Convert to fraction form
    424,524.20/585,831.14 = 233,537.64/x
  3. Step 3: Cross multiply
    424,524.20x = 585,831.14 × 233,537.64
  4. Step 4: Simplify right side
    424,524.20x = 136,813,621,874.11
  5. Step 5: Solve for x
    x = 136,813,621,874.11/424,524.20
  6. Step 6: Final answer
    x = 322,275.20

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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.