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Finding the Fourth Proportional to 360,830.16, 497,933.27 and 199,692

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Solution

The fourth proportional to 360,830.16, 497,933.27 and 199,692 is: 275,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,830.16 : 497,933.27 = 199,692 : x
  2. Step 2: Convert to fraction form
    360,830.16/497,933.27 = 199,692/x
  3. Step 3: Cross multiply
    360,830.16x = 497,933.27 × 199,692
  4. Step 4: Simplify right side
    360,830.16x = 99,433,289,554.38
  5. Step 5: Solve for x
    x = 99,433,289,554.38/360,830.16
  6. Step 6: Final answer
    x = 275,568.12

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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.