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Finding the Fourth Proportional to 329,365.04, 454,525.32 and 178,462

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Solution

The fourth proportional to 329,365.04, 454,525.32 and 178,462 is: 246,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,365.04 : 454,525.32 = 178,462 : x
  2. Step 2: Convert to fraction form
    329,365.04/454,525.32 = 178,462/x
  3. Step 3: Cross multiply
    329,365.04x = 454,525.32 × 178,462
  4. Step 4: Simplify right side
    329,365.04x = 81,115,497,657.84
  5. Step 5: Solve for x
    x = 81,115,497,657.84/329,365.04
  6. Step 6: Final answer
    x = 246,278.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.