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Finding the Fourth Proportional to 523,032.30, 784,682.10 and 168,049.80

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Solution

The fourth proportional to 523,032.30, 784,682.10 and 168,049.80 is: 252,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,032.30 : 784,682.10 = 168,049.80 : x
  2. Step 2: Convert to fraction form
    523,032.30/784,682.10 = 168,049.80/x
  3. Step 3: Cross multiply
    523,032.30x = 784,682.10 × 168,049.80
  4. Step 4: Simplify right side
    523,032.30x = 131,865,669,968.58
  5. Step 5: Solve for x
    x = 131,865,669,968.58/523,032.30
  6. Step 6: Final answer
    x = 252,117.64

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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.