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Finding the Fourth Proportional to 369,516.89, 509,934.05 and 199,751.01

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Solution

The fourth proportional to 369,516.89, 509,934.05 and 199,751.01 is: 275,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,516.89 : 509,934.05 = 199,751.01 : x
  2. Step 2: Convert to fraction form
    369,516.89/509,934.05 = 199,751.01/x
  3. Step 3: Cross multiply
    369,516.89x = 509,934.05 × 199,751.01
  4. Step 4: Simplify right side
    369,516.89x = 101,859,840,522.14
  5. Step 5: Solve for x
    x = 101,859,840,522.14/369,516.89
  6. Step 6: Final answer
    x = 275,656.80

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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.