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Finding the Fourth Proportional to 316,211.22, 436,473.09 and 208,876.50

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Solution

The fourth proportional to 316,211.22, 436,473.09 and 208,876.50 is: 288,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,211.22 : 436,473.09 = 208,876.50 : x
  2. Step 2: Convert to fraction form
    316,211.22/436,473.09 = 208,876.50/x
  3. Step 3: Cross multiply
    316,211.22x = 436,473.09 × 208,876.50
  4. Step 4: Simplify right side
    316,211.22x = 91,168,971,383.39
  5. Step 5: Solve for x
    x = 91,168,971,383.39/316,211.22
  6. Step 6: Final answer
    x = 288,316.69

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