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Finding the Fourth Proportional to 380,926.56, 571,394.76 and 262,566.16

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Solution

The fourth proportional to 380,926.56, 571,394.76 and 262,566.16 is: 393,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,926.56 : 571,394.76 = 262,566.16 : x
  2. Step 2: Convert to fraction form
    380,926.56/571,394.76 = 262,566.16/x
  3. Step 3: Cross multiply
    380,926.56x = 571,394.76 × 262,566.16
  4. Step 4: Simplify right side
    380,926.56x = 150,028,927,977.32
  5. Step 5: Solve for x
    x = 150,028,927,977.32/380,926.56
  6. Step 6: Final answer
    x = 393,852.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.