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Finding the Fourth Proportional to 390,181.40, 538,494.03 and 220,426.46

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Solution

The fourth proportional to 390,181.40, 538,494.03 and 220,426.46 is: 304,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,181.40 : 538,494.03 = 220,426.46 : x
  2. Step 2: Convert to fraction form
    390,181.40/538,494.03 = 220,426.46/x
  3. Step 3: Cross multiply
    390,181.40x = 538,494.03 × 220,426.46
  4. Step 4: Simplify right side
    390,181.40x = 118,698,332,764.03
  5. Step 5: Solve for x
    x = 118,698,332,764.03/390,181.40
  6. Step 6: Final answer
    x = 304,213.20

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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.