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Finding the Fourth Proportional to 388,830.38, 536,585.93 and 209,982.38

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Solution

The fourth proportional to 388,830.38, 536,585.93 and 209,982.38 is: 289,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,830.38 : 536,585.93 = 209,982.38 : x
  2. Step 2: Convert to fraction form
    388,830.38/536,585.93 = 209,982.38/x
  3. Step 3: Cross multiply
    388,830.38x = 536,585.93 × 209,982.38
  4. Step 4: Simplify right side
    388,830.38x = 112,673,586,923.07
  5. Step 5: Solve for x
    x = 112,673,586,923.07/388,830.38
  6. Step 6: Final answer
    x = 289,775.68

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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.