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Finding the Fourth Proportional to 369,222.50, 509,527.51 and 199,456.63

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Solution

The fourth proportional to 369,222.50, 509,527.51 and 199,456.63 is: 275,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,222.50 : 509,527.51 = 199,456.63 : x
  2. Step 2: Convert to fraction form
    369,222.50/509,527.51 = 199,456.63/x
  3. Step 3: Cross multiply
    369,222.50x = 509,527.51 × 199,456.63
  4. Step 4: Simplify right side
    369,222.50x = 101,628,636,990.61
  5. Step 5: Solve for x
    x = 101,628,636,990.61/369,222.50
  6. Step 6: Final answer
    x = 275,250.39

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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.