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Finding the Fourth Proportional to 522,833.52, 784,352.40 and 167,820.24

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Solution

The fourth proportional to 522,833.52, 784,352.40 and 167,820.24 is: 251,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,833.52 : 784,352.40 = 167,820.24 : x
  2. Step 2: Convert to fraction form
    522,833.52/784,352.40 = 167,820.24/x
  3. Step 3: Cross multiply
    522,833.52x = 784,352.40 × 167,820.24
  4. Step 4: Simplify right side
    522,833.52x = 131,630,208,012.58
  5. Step 5: Solve for x
    x = 131,630,208,012.58/522,833.52
  6. Step 6: Final answer
    x = 251,763.14

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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.