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Finding the Fourth Proportional to 390,211.36, 538,480.37 and 218,129.63

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Solution

The fourth proportional to 390,211.36, 538,480.37 and 218,129.63 is: 301,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,211.36 : 538,480.37 = 218,129.63 : x
  2. Step 2: Convert to fraction form
    390,211.36/538,480.37 = 218,129.63/x
  3. Step 3: Cross multiply
    390,211.36x = 538,480.37 × 218,129.63
  4. Step 4: Simplify right side
    390,211.36x = 117,458,521,723.29
  5. Step 5: Solve for x
    x = 117,458,521,723.29/390,211.36
  6. Step 6: Final answer
    x = 301,012.57

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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.