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Finding the Fourth Proportional to 531,917.21, 734,044.71 and 290,199.95

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Solution

The fourth proportional to 531,917.21, 734,044.71 and 290,199.95 is: 400,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,917.21 : 734,044.71 = 290,199.95 : x
  2. Step 2: Convert to fraction form
    531,917.21/734,044.71 = 290,199.95/x
  3. Step 3: Cross multiply
    531,917.21x = 734,044.71 × 290,199.95
  4. Step 4: Simplify right side
    531,917.21x = 213,019,738,310.46
  5. Step 5: Solve for x
    x = 213,019,738,310.46/531,917.21
  6. Step 6: Final answer
    x = 400,475.36

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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.