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Finding the Fourth Proportional to 322,994.78, 484,307.55 and 98,288.76

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Solution

The fourth proportional to 322,994.78, 484,307.55 and 98,288.76 is: 147,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,994.78 : 484,307.55 = 98,288.76 : x
  2. Step 2: Convert to fraction form
    322,994.78/484,307.55 = 98,288.76/x
  3. Step 3: Cross multiply
    322,994.78x = 484,307.55 × 98,288.76
  4. Step 4: Simplify right side
    322,994.78x = 47,601,988,548.14
  5. Step 5: Solve for x
    x = 47,601,988,548.14/322,994.78
  6. Step 6: Final answer
    x = 147,376.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.