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Finding the Fourth Proportional to 322,904.05, 484,459.86 and 98,307.96

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Solution

The fourth proportional to 322,904.05, 484,459.86 and 98,307.96 is: 147,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,904.05 : 484,459.86 = 98,307.96 : x
  2. Step 2: Convert to fraction form
    322,904.05/484,459.86 = 98,307.96/x
  3. Step 3: Cross multiply
    322,904.05x = 484,459.86 × 98,307.96
  4. Step 4: Simplify right side
    322,904.05x = 47,626,260,046.95
  5. Step 5: Solve for x
    x = 47,626,260,046.95/322,904.05
  6. Step 6: Final answer
    x = 147,493.54

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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.