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Finding the Fourth Proportional to 297,706.07, 446,628.30 and 98,028.19

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Solution

The fourth proportional to 297,706.07, 446,628.30 and 98,028.19 is: 147,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,706.07 : 446,628.30 = 98,028.19 : x
  2. Step 2: Convert to fraction form
    297,706.07/446,628.30 = 98,028.19/x
  3. Step 3: Cross multiply
    297,706.07x = 446,628.30 × 98,028.19
  4. Step 4: Simplify right side
    297,706.07x = 43,782,164,042.46
  5. Step 5: Solve for x
    x = 43,782,164,042.46/297,706.07
  6. Step 6: Final answer
    x = 147,065.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.