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Finding the Fourth Proportional to 469,548.14, 647,976.43 and 265,594.67

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Solution

The fourth proportional to 469,548.14, 647,976.43 and 265,594.67 is: 366,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,548.14 : 647,976.43 = 265,594.67 : x
  2. Step 2: Convert to fraction form
    469,548.14/647,976.43 = 265,594.67/x
  3. Step 3: Cross multiply
    469,548.14x = 647,976.43 × 265,594.67
  4. Step 4: Simplify right side
    469,548.14x = 172,099,088,185.07
  5. Step 5: Solve for x
    x = 172,099,088,185.07/469,548.14
  6. Step 6: Final answer
    x = 366,520.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.