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Finding the Fourth Proportional to 413,266, 620,003.04 and 117,778

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Solution

The fourth proportional to 413,266, 620,003.04 and 117,778 is: 176,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,266 : 620,003.04 = 117,778 : x
  2. Step 2: Convert to fraction form
    413,266/620,003.04 = 117,778/x
  3. Step 3: Cross multiply
    413,266x = 620,003.04 × 117,778
  4. Step 4: Simplify right side
    413,266x = 73,022,718,045.12
  5. Step 5: Solve for x
    x = 73,022,718,045.12/413,266
  6. Step 6: Final answer
    x = 176,696.65

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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.