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Finding the Fourth Proportional to 360,399.24, 497,307.96 and 199,232.64

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Solution

The fourth proportional to 360,399.24, 497,307.96 and 199,232.64 is: 274,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,399.24 : 497,307.96 = 199,232.64 : x
  2. Step 2: Convert to fraction form
    360,399.24/497,307.96 = 199,232.64/x
  3. Step 3: Cross multiply
    360,399.24x = 497,307.96 × 199,232.64
  4. Step 4: Simplify right side
    360,399.24x = 99,079,977,763.81
  5. Step 5: Solve for x
    x = 99,079,977,763.81/360,399.24
  6. Step 6: Final answer
    x = 274,917.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.