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Finding the Fourth Proportional to 523,336.40, 722,163.06 and 296,981.90

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Solution

The fourth proportional to 523,336.40, 722,163.06 and 296,981.90 is: 409,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,336.40 : 722,163.06 = 296,981.90 : x
  2. Step 2: Convert to fraction form
    523,336.40/722,163.06 = 296,981.90/x
  3. Step 3: Cross multiply
    523,336.40x = 722,163.06 × 296,981.90
  4. Step 4: Simplify right side
    523,336.40x = 214,469,357,668.61
  5. Step 5: Solve for x
    x = 214,469,357,668.61/523,336.40
  6. Step 6: Final answer
    x = 409,811.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.