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Finding the Fourth Proportional to 362,199.40, 543,656.67 and 271,928.14

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Solution

The fourth proportional to 362,199.40, 543,656.67 and 271,928.14 is: 408,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,199.40 : 543,656.67 = 271,928.14 : x
  2. Step 2: Convert to fraction form
    362,199.40/543,656.67 = 271,928.14/x
  3. Step 3: Cross multiply
    362,199.40x = 543,656.67 × 271,928.14
  4. Step 4: Simplify right side
    362,199.40x = 147,835,547,071.69
  5. Step 5: Solve for x
    x = 147,835,547,071.69/362,199.40
  6. Step 6: Final answer
    x = 408,160.66

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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.