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Finding the Fourth Proportional to 316,907.08, 475,040.76 and 198,661.48

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Solution

The fourth proportional to 316,907.08, 475,040.76 and 198,661.48 is: 297,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,907.08 : 475,040.76 = 198,661.48 : x
  2. Step 2: Convert to fraction form
    316,907.08/475,040.76 = 198,661.48/x
  3. Step 3: Cross multiply
    316,907.08x = 475,040.76 × 198,661.48
  4. Step 4: Simplify right side
    316,907.08x = 94,372,300,441.92
  5. Step 5: Solve for x
    x = 94,372,300,441.92/316,907.08
  6. Step 6: Final answer
    x = 297,791.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.