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Finding the Fourth Proportional to 309,825.55, 427,524.10 and 173,831.14

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Solution

The fourth proportional to 309,825.55, 427,524.10 and 173,831.14 is: 239,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,825.55 : 427,524.10 = 173,831.14 : x
  2. Step 2: Convert to fraction form
    309,825.55/427,524.10 = 173,831.14/x
  3. Step 3: Cross multiply
    309,825.55x = 427,524.10 × 173,831.14
  4. Step 4: Simplify right side
    309,825.55x = 74,317,001,680.47
  5. Step 5: Solve for x
    x = 74,317,001,680.47/309,825.55
  6. Step 6: Final answer
    x = 239,867.25

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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.