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Finding the Fourth Proportional to 267,206.52, 400,715.22 and 77,627.43

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Solution

The fourth proportional to 267,206.52, 400,715.22 and 77,627.43 is: 116,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,206.52 : 400,715.22 = 77,627.43 : x
  2. Step 2: Convert to fraction form
    267,206.52/400,715.22 = 77,627.43/x
  3. Step 3: Cross multiply
    267,206.52x = 400,715.22 × 77,627.43
  4. Step 4: Simplify right side
    267,206.52x = 31,106,492,690.48
  5. Step 5: Solve for x
    x = 31,106,492,690.48/267,206.52
  6. Step 6: Final answer
    x = 116,413.67

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1.5x scale

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.