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Finding the Fourth Proportional to 642,960.80, 964,076.70 and 243,614.60

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Solution

The fourth proportional to 642,960.80, 964,076.70 and 243,614.60 is: 365,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,960.80 : 964,076.70 = 243,614.60 : x
  2. Step 2: Convert to fraction form
    642,960.80/964,076.70 = 243,614.60/x
  3. Step 3: Cross multiply
    642,960.80x = 964,076.70 × 243,614.60
  4. Step 4: Simplify right side
    642,960.80x = 234,863,159,639.82
  5. Step 5: Solve for x
    x = 234,863,159,639.82/642,960.80
  6. Step 6: Final answer
    x = 365,283.79

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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.