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Finding the Fourth Proportional to 381,684.40, 572,526.60 and 182,100.40

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Solution

The fourth proportional to 381,684.40, 572,526.60 and 182,100.40 is: 273,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,684.40 : 572,526.60 = 182,100.40 : x
  2. Step 2: Convert to fraction form
    381,684.40/572,526.60 = 182,100.40/x
  3. Step 3: Cross multiply
    381,684.40x = 572,526.60 × 182,100.40
  4. Step 4: Simplify right side
    381,684.40x = 104,257,322,870.64
  5. Step 5: Solve for x
    x = 104,257,322,870.64/381,684.40
  6. Step 6: Final answer
    x = 273,150.60

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Why These Related Problems?

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