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Finding the Fourth Proportional to 329,763.48, 455,061.30 and 178,857.24

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Solution

The fourth proportional to 329,763.48, 455,061.30 and 178,857.24 is: 246,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,763.48 : 455,061.30 = 178,857.24 : x
  2. Step 2: Convert to fraction form
    329,763.48/455,061.30 = 178,857.24/x
  3. Step 3: Cross multiply
    329,763.48x = 455,061.30 × 178,857.24
  4. Step 4: Simplify right side
    329,763.48x = 81,391,008,148.81
  5. Step 5: Solve for x
    x = 81,391,008,148.81/329,763.48
  6. Step 6: Final answer
    x = 246,816.32

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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.