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Finding the Fourth Proportional to 380,289.47, 524,391.37 and 320,518.76

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Solution

The fourth proportional to 380,289.47, 524,391.37 and 320,518.76 is: 441,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,289.47 : 524,391.37 = 320,518.76 : x
  2. Step 2: Convert to fraction form
    380,289.47/524,391.37 = 320,518.76/x
  3. Step 3: Cross multiply
    380,289.47x = 524,391.37 × 320,518.76
  4. Step 4: Simplify right side
    380,289.47x = 168,077,268,243.85
  5. Step 5: Solve for x
    x = 168,077,268,243.85/380,289.47
  6. Step 6: Final answer
    x = 441,971.93

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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.