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Finding the Fourth Proportional to 291,499.23, 399,646.93 and 286,185.63

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Solution

The fourth proportional to 291,499.23, 399,646.93 and 286,185.63 is: 392,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,499.23 : 399,646.93 = 286,185.63 : x
  2. Step 2: Convert to fraction form
    291,499.23/399,646.93 = 286,185.63/x
  3. Step 3: Cross multiply
    291,499.23x = 399,646.93 × 286,185.63
  4. Step 4: Simplify right side
    291,499.23x = 114,373,207,724.15
  5. Step 5: Solve for x
    x = 114,373,207,724.15/291,499.23
  6. Step 6: Final answer
    x = 392,361.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.