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Finding the Fourth Proportional to 389,112, 536,982.76 and 219,346.13

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Solution

The fourth proportional to 389,112, 536,982.76 and 219,346.13 is: 302,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,112 : 536,982.76 = 219,346.13 : x
  2. Step 2: Convert to fraction form
    389,112/536,982.76 = 219,346.13/x
  3. Step 3: Cross multiply
    389,112x = 536,982.76 × 219,346.13
  4. Step 4: Simplify right side
    389,112x = 117,785,087,871.99
  5. Step 5: Solve for x
    x = 117,785,087,871.99/389,112
  6. Step 6: Final answer
    x = 302,702.28

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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.