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Finding the Fourth Proportional to 984,648, 1,469,243.52 and 924,461.76

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Solution

The fourth proportional to 984,648, 1,469,243.52 and 924,461.76 is: 1,379,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,648 : 1,469,243.52 = 924,461.76 : x
  2. Step 2: Convert to fraction form
    984,648/1,469,243.52 = 924,461.76/x
  3. Step 3: Cross multiply
    984,648x = 1,469,243.52 × 924,461.76
  4. Step 4: Simplify right side
    984,648x = 1,358,259,450,367.80
  5. Step 5: Solve for x
    x = 1,358,259,450,367.80/984,648
  6. Step 6: Final answer
    x = 1,379,436.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.