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Finding the Fourth Proportional to 306,214.85, 422,600.16 and 183,711.82

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Solution

The fourth proportional to 306,214.85, 422,600.16 and 183,711.82 is: 253,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,214.85 : 422,600.16 = 183,711.82 : x
  2. Step 2: Convert to fraction form
    306,214.85/422,600.16 = 183,711.82/x
  3. Step 3: Cross multiply
    306,214.85x = 422,600.16 × 183,711.82
  4. Step 4: Simplify right side
    306,214.85x = 77,636,643,469.39
  5. Step 5: Solve for x
    x = 77,636,643,469.39/306,214.85
  6. Step 6: Final answer
    x = 253,536.50

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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.