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Finding the Fourth Proportional to 329,678.38, 454,956.16 and 178,775.50

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Solution

The fourth proportional to 329,678.38, 454,956.16 and 178,775.50 is: 246,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,678.38 : 454,956.16 = 178,775.50 : x
  2. Step 2: Convert to fraction form
    329,678.38/454,956.16 = 178,775.50/x
  3. Step 3: Cross multiply
    329,678.38x = 454,956.16 × 178,775.50
  4. Step 4: Simplify right side
    329,678.38x = 81,335,012,707.30
  5. Step 5: Solve for x
    x = 81,335,012,707.30/329,678.38
  6. Step 6: Final answer
    x = 246,710.18

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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.