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Finding the Fourth Proportional to 360,391.53, 497,350.70 and 199,256.99

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Solution

The fourth proportional to 360,391.53, 497,350.70 and 199,256.99 is: 274,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,391.53 : 497,350.70 = 199,256.99 : x
  2. Step 2: Convert to fraction form
    360,391.53/497,350.70 = 199,256.99/x
  3. Step 3: Cross multiply
    360,391.53x = 497,350.70 × 199,256.99
  4. Step 4: Simplify right side
    360,391.53x = 99,100,600,720.57
  5. Step 5: Solve for x
    x = 99,100,600,720.57/360,391.53
  6. Step 6: Final answer
    x = 274,980.38

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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.