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Finding the Fourth Proportional to 656,461.83, 984,858.81 and 183,146.97

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Solution

The fourth proportional to 656,461.83, 984,858.81 and 183,146.97 is: 274,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,461.83 : 984,858.81 = 183,146.97 : x
  2. Step 2: Convert to fraction form
    656,461.83/984,858.81 = 183,146.97/x
  3. Step 3: Cross multiply
    656,461.83x = 984,858.81 × 183,146.97
  4. Step 4: Simplify right side
    656,461.83x = 180,373,906,929.31
  5. Step 5: Solve for x
    x = 180,373,906,929.31/656,461.83
  6. Step 6: Final answer
    x = 274,766.79

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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.