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Finding the Fourth Proportional to 475,967.46, 656,786.43 and 284,975.94

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Solution

The fourth proportional to 475,967.46, 656,786.43 and 284,975.94 is: 393,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,967.46 : 656,786.43 = 284,975.94 : x
  2. Step 2: Convert to fraction form
    475,967.46/656,786.43 = 284,975.94/x
  3. Step 3: Cross multiply
    475,967.46x = 656,786.43 × 284,975.94
  4. Step 4: Simplify right side
    475,967.46x = 187,168,330,268.49
  5. Step 5: Solve for x
    x = 187,168,330,268.49/475,967.46
  6. Step 6: Final answer
    x = 393,237.66

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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.