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Finding the Fourth Proportional to 380,524.96, 525,477.42 and 284,865.58

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Solution

The fourth proportional to 380,524.96, 525,477.42 and 284,865.58 is: 393,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,524.96 : 525,477.42 = 284,865.58 : x
  2. Step 2: Convert to fraction form
    380,524.96/525,477.42 = 284,865.58/x
  3. Step 3: Cross multiply
    380,524.96x = 525,477.42 × 284,865.58
  4. Step 4: Simplify right side
    380,524.96x = 149,690,430,025.20
  5. Step 5: Solve for x
    x = 149,690,430,025.20/380,524.96
  6. Step 6: Final answer
    x = 393,378.74

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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.