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Finding the Fourth Proportional to 297,283.88, 410,246.06 and 168,220

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Solution

The fourth proportional to 297,283.88, 410,246.06 and 168,220 is: 232,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,283.88 : 410,246.06 = 168,220 : x
  2. Step 2: Convert to fraction form
    297,283.88/410,246.06 = 168,220/x
  3. Step 3: Cross multiply
    297,283.88x = 410,246.06 × 168,220
  4. Step 4: Simplify right side
    297,283.88x = 69,011,591,792.65
  5. Step 5: Solve for x
    x = 69,011,591,792.65/297,283.88
  6. Step 6: Final answer
    x = 232,140.38

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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.