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Finding the Fourth Proportional to 301,329.84, 415,831.32 and 165,365.04

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Solution

The fourth proportional to 301,329.84, 415,831.32 and 165,365.04 is: 228,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,329.84 : 415,831.32 = 165,365.04 : x
  2. Step 2: Convert to fraction form
    301,329.84/415,831.32 = 165,365.04/x
  3. Step 3: Cross multiply
    301,329.84x = 415,831.32 × 165,365.04
  4. Step 4: Simplify right side
    301,329.84x = 68,763,962,865.05
  5. Step 5: Solve for x
    x = 68,763,962,865.05/301,329.84
  6. Step 6: Final answer
    x = 228,201.64

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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.