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Finding the Fourth Proportional to 380,524.46, 525,476.74 and 284,865.08

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Solution

The fourth proportional to 380,524.46, 525,476.74 and 284,865.08 is: 393,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,524.46 : 525,476.74 = 284,865.08 : x
  2. Step 2: Convert to fraction form
    380,524.46/525,476.74 = 284,865.08/x
  3. Step 3: Cross multiply
    380,524.46x = 525,476.74 × 284,865.08
  4. Step 4: Simplify right side
    380,524.46x = 149,689,973,578.24
  5. Step 5: Solve for x
    x = 149,689,973,578.24/380,524.46
  6. Step 6: Final answer
    x = 393,378.06

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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.