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Finding the Fourth Proportional to 264,639.63, 397,470.06 and 226,774.74

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Solution

The fourth proportional to 264,639.63, 397,470.06 and 226,774.74 is: 340,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,639.63 : 397,470.06 = 226,774.74 : x
  2. Step 2: Convert to fraction form
    264,639.63/397,470.06 = 226,774.74/x
  3. Step 3: Cross multiply
    264,639.63x = 397,470.06 × 226,774.74
  4. Step 4: Simplify right side
    264,639.63x = 90,136,169,514.28
  5. Step 5: Solve for x
    x = 90,136,169,514.28/264,639.63
  6. Step 6: Final answer
    x = 340,599.67

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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.