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Finding the Fourth Proportional to 360,915.66, 498,050.91 and 199,771.02

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Solution

The fourth proportional to 360,915.66, 498,050.91 and 199,771.02 is: 275,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,915.66 : 498,050.91 = 199,771.02 : x
  2. Step 2: Convert to fraction form
    360,915.66/498,050.91 = 199,771.02/x
  3. Step 3: Cross multiply
    360,915.66x = 498,050.91 × 199,771.02
  4. Step 4: Simplify right side
    360,915.66x = 99,496,138,302.63
  5. Step 5: Solve for x
    x = 99,496,138,302.63/360,915.66
  6. Step 6: Final answer
    x = 275,676.98

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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.