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Finding the Fourth Proportional to 509,466.60, 764,175.60 and 172,474.20

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Solution

The fourth proportional to 509,466.60, 764,175.60 and 172,474.20 is: 258,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,466.60 : 764,175.60 = 172,474.20 : x
  2. Step 2: Convert to fraction form
    509,466.60/764,175.60 = 172,474.20/x
  3. Step 3: Cross multiply
    509,466.60x = 764,175.60 × 172,474.20
  4. Step 4: Simplify right side
    509,466.60x = 131,800,575,269.52
  5. Step 5: Solve for x
    x = 131,800,575,269.52/509,466.60
  6. Step 6: Final answer
    x = 258,703.07

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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.