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Finding the Fourth Proportional to 389,112.38, 536,983.28 and 219,346.50

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Solution

The fourth proportional to 389,112.38, 536,983.28 and 219,346.50 is: 302,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,112.38 : 536,983.28 = 219,346.50 : x
  2. Step 2: Convert to fraction form
    389,112.38/536,983.28 = 219,346.50/x
  3. Step 3: Cross multiply
    389,112.38x = 536,983.28 × 219,346.50
  4. Step 4: Simplify right side
    389,112.38x = 117,785,402,752.34
  5. Step 5: Solve for x
    x = 117,785,402,752.34/389,112.38
  6. Step 6: Final answer
    x = 302,702.79

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Why These Related Problems?

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