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Finding the Fourth Proportional to 522,829.40, 784,244.10 and 167,879.30

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Solution

The fourth proportional to 522,829.40, 784,244.10 and 167,879.30 is: 251,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,829.40 : 784,244.10 = 167,879.30 : x
  2. Step 2: Convert to fraction form
    522,829.40/784,244.10 = 167,879.30/x
  3. Step 3: Cross multiply
    522,829.40x = 784,244.10 × 167,879.30
  4. Step 4: Simplify right side
    522,829.40x = 131,658,350,537.13
  5. Step 5: Solve for x
    x = 131,658,350,537.13/522,829.40
  6. Step 6: Final answer
    x = 251,818.95

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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.