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Finding the Fourth Proportional to 422,696.16, 634,319.03 and 183,044.09

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Solution

The fourth proportional to 422,696.16, 634,319.03 and 183,044.09 is: 274,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,696.16 : 634,319.03 = 183,044.09 : x
  2. Step 2: Convert to fraction form
    422,696.16/634,319.03 = 183,044.09/x
  3. Step 3: Cross multiply
    422,696.16x = 634,319.03 × 183,044.09
  4. Step 4: Simplify right side
    422,696.16x = 116,108,345,529.22
  5. Step 5: Solve for x
    x = 116,108,345,529.22/422,696.16
  6. Step 6: Final answer
    x = 274,685.12

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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.