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Finding the Fourth Proportional to 345,381.41, 476,495.34 and 209,365.76

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Solution

The fourth proportional to 345,381.41, 476,495.34 and 209,365.76 is: 288,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,381.41 : 476,495.34 = 209,365.76 : x
  2. Step 2: Convert to fraction form
    345,381.41/476,495.34 = 209,365.76/x
  3. Step 3: Cross multiply
    345,381.41x = 476,495.34 × 209,365.76
  4. Step 4: Simplify right side
    345,381.41x = 99,761,808,995.56
  5. Step 5: Solve for x
    x = 99,761,808,995.56/345,381.41
  6. Step 6: Final answer
    x = 288,845.33

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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.