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Finding the Fourth Proportional to 322,804, 484,283.76 and 101,188

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Solution

The fourth proportional to 322,804, 484,283.76 and 101,188 is: 151,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,804 : 484,283.76 = 101,188 : x
  2. Step 2: Convert to fraction form
    322,804/484,283.76 = 101,188/x
  3. Step 3: Cross multiply
    322,804x = 484,283.76 × 101,188
  4. Step 4: Simplify right side
    322,804x = 49,003,705,106.88
  5. Step 5: Solve for x
    x = 49,003,705,106.88/322,804
  6. Step 6: Final answer
    x = 151,806.38

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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.