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Finding the Fourth Proportional to 329,678.40, 454,956.44 and 178,775.36

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Solution

The fourth proportional to 329,678.40, 454,956.44 and 178,775.36 is: 246,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,678.40 : 454,956.44 = 178,775.36 : x
  2. Step 2: Convert to fraction form
    329,678.40/454,956.44 = 178,775.36/x
  3. Step 3: Cross multiply
    329,678.40x = 454,956.44 × 178,775.36
  4. Step 4: Simplify right side
    329,678.40x = 81,335,001,345.32
  5. Step 5: Solve for x
    x = 81,335,001,345.32/329,678.40
  6. Step 6: Final answer
    x = 246,710.13

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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.