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Finding the Fourth Proportional to 642,694.15, 964,044.65 and 193,411.94

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Solution

The fourth proportional to 642,694.15, 964,044.65 and 193,411.94 is: 290,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,694.15 : 964,044.65 = 193,411.94 : x
  2. Step 2: Convert to fraction form
    642,694.15/964,044.65 = 193,411.94/x
  3. Step 3: Cross multiply
    642,694.15x = 964,044.65 × 193,411.94
  4. Step 4: Simplify right side
    642,694.15x = 186,457,745,036.06
  5. Step 5: Solve for x
    x = 186,457,745,036.06/642,694.15
  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.