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Finding the Fourth Proportional to 399,473.32, 550,515.30 and 286,099.24

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Solution

The fourth proportional to 399,473.32, 550,515.30 and 286,099.24 is: 394,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,473.32 : 550,515.30 = 286,099.24 : x
  2. Step 2: Convert to fraction form
    399,473.32/550,515.30 = 286,099.24/x
  3. Step 3: Cross multiply
    399,473.32x = 550,515.30 × 286,099.24
  4. Step 4: Simplify right side
    399,473.32x = 157,502,008,938.37
  5. Step 5: Solve for x
    x = 157,502,008,938.37/399,473.32
  6. Step 6: Final answer
    x = 394,274.16

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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.