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Finding the Fourth Proportional to 642,694.14, 964,044.64 and 193,411.94

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Solution

The fourth proportional to 642,694.14, 964,044.64 and 193,411.94 is: 290,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,694.14 : 964,044.64 = 193,411.94 : x
  2. Step 2: Convert to fraction form
    642,694.14/964,044.64 = 193,411.94/x
  3. Step 3: Cross multiply
    642,694.14x = 964,044.64 × 193,411.94
  4. Step 4: Simplify right side
    642,694.14x = 186,457,744,069.00
  5. Step 5: Solve for x
    x = 186,457,744,069.00/642,694.14
  6. Step 6: Final answer
    x = 290,118.94

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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.