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Finding the Fourth Proportional to 369,529.94, 509,951.40 and 199,764.02

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Solution

The fourth proportional to 369,529.94, 509,951.40 and 199,764.02 is: 275,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,529.94 : 509,951.40 = 199,764.02 : x
  2. Step 2: Convert to fraction form
    369,529.94/509,951.40 = 199,764.02/x
  3. Step 3: Cross multiply
    369,529.94x = 509,951.40 × 199,764.02
  4. Step 4: Simplify right side
    369,529.94x = 101,869,941,668.63
  5. Step 5: Solve for x
    x = 101,869,941,668.63/369,529.94
  6. Step 6: Final answer
    x = 275,674.39

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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.