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Finding the Fourth Proportional to 414,208.50, 620,316.28 and 236,175.76

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Solution

The fourth proportional to 414,208.50, 620,316.28 and 236,175.76 is: 353,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,208.50 : 620,316.28 = 236,175.76 : x
  2. Step 2: Convert to fraction form
    414,208.50/620,316.28 = 236,175.76/x
  3. Step 3: Cross multiply
    414,208.50x = 620,316.28 × 236,175.76
  4. Step 4: Simplify right side
    414,208.50x = 146,503,668,869.37
  5. Step 5: Solve for x
    x = 146,503,668,869.37/414,208.50
  6. Step 6: Final answer
    x = 353,695.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.