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Finding the Fourth Proportional to 384,182.08, 575,806.52 and 271,895.12

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Solution

The fourth proportional to 384,182.08, 575,806.52 and 271,895.12 is: 407,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,182.08 : 575,806.52 = 271,895.12 : x
  2. Step 2: Convert to fraction form
    384,182.08/575,806.52 = 271,895.12/x
  3. Step 3: Cross multiply
    384,182.08x = 575,806.52 × 271,895.12
  4. Step 4: Simplify right side
    384,182.08x = 156,558,982,852.18
  5. Step 5: Solve for x
    x = 156,558,982,852.18/384,182.08
  6. Step 6: Final answer
    x = 407,512.46

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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.