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Finding the Fourth Proportional to 299,289.54, 413,028.34 and 163,332.28

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Solution

The fourth proportional to 299,289.54, 413,028.34 and 163,332.28 is: 225,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,289.54 : 413,028.34 = 163,332.28 : x
  2. Step 2: Convert to fraction form
    299,289.54/413,028.34 = 163,332.28/x
  3. Step 3: Cross multiply
    299,289.54x = 413,028.34 × 163,332.28
  4. Step 4: Simplify right side
    299,289.54x = 67,460,860,476.82
  5. Step 5: Solve for x
    x = 67,460,860,476.82/299,289.54
  6. Step 6: Final answer
    x = 225,403.34

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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.