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Finding the Fourth Proportional to 506,769.48, 699,037.97 and 334,687.77

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Solution

The fourth proportional to 506,769.48, 699,037.97 and 334,687.77 is: 461,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,769.48 : 699,037.97 = 334,687.77 : x
  2. Step 2: Convert to fraction form
    506,769.48/699,037.97 = 334,687.77/x
  3. Step 3: Cross multiply
    506,769.48x = 699,037.97 × 334,687.77
  4. Step 4: Simplify right side
    506,769.48x = 233,959,457,651.19
  5. Step 5: Solve for x
    x = 233,959,457,651.19/506,769.48
  6. Step 6: Final answer
    x = 461,668.41

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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.