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Finding the Fourth Proportional to 297,984.83, 446,991.21 and 98,322.66

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Solution

The fourth proportional to 297,984.83, 446,991.21 and 98,322.66 is: 147,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,984.83 : 446,991.21 = 98,322.66 : x
  2. Step 2: Convert to fraction form
    297,984.83/446,991.21 = 98,322.66/x
  3. Step 3: Cross multiply
    297,984.83x = 446,991.21 × 98,322.66
  4. Step 4: Simplify right side
    297,984.83x = 43,949,364,763.82
  5. Step 5: Solve for x
    x = 43,949,364,763.82/297,984.83
  6. Step 6: Final answer
    x = 147,488.60

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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.