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Finding the Fourth Proportional to 509,858.96, 764,790.26 and 229,048.16

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Solution

The fourth proportional to 509,858.96, 764,790.26 and 229,048.16 is: 343,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,858.96 : 764,790.26 = 229,048.16 : x
  2. Step 2: Convert to fraction form
    509,858.96/764,790.26 = 229,048.16/x
  3. Step 3: Cross multiply
    509,858.96x = 764,790.26 × 229,048.16
  4. Step 4: Simplify right side
    509,858.96x = 175,173,796,869.73
  5. Step 5: Solve for x
    x = 175,173,796,869.73/509,858.96
  6. Step 6: Final answer
    x = 343,573.05

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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.