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Finding the Fourth Proportional to 431,975.91, 647,890.02 and 116,359.01

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Solution

The fourth proportional to 431,975.91, 647,890.02 and 116,359.01 is: 174,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,975.91 : 647,890.02 = 116,359.01 : x
  2. Step 2: Convert to fraction form
    431,975.91/647,890.02 = 116,359.01/x
  3. Step 3: Cross multiply
    431,975.91x = 647,890.02 × 116,359.01
  4. Step 4: Simplify right side
    431,975.91x = 75,387,838,076.63
  5. Step 5: Solve for x
    x = 75,387,838,076.63/431,975.91
  6. Step 6: Final answer
    x = 174,518.62

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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.