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Finding the Fourth Proportional to 384,711.06, 530,890.38 and 214,945.20

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Solution

The fourth proportional to 384,711.06, 530,890.38 and 214,945.20 is: 296,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,711.06 : 530,890.38 = 214,945.20 : x
  2. Step 2: Convert to fraction form
    384,711.06/530,890.38 = 214,945.20/x
  3. Step 3: Cross multiply
    384,711.06x = 530,890.38 × 214,945.20
  4. Step 4: Simplify right side
    384,711.06x = 114,112,338,907.18
  5. Step 5: Solve for x
    x = 114,112,338,907.18/384,711.06
  6. Step 6: Final answer
    x = 296,618.30

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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.