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Finding the Fourth Proportional to 297,835.76, 446,808.98 and 98,170.16

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Solution

The fourth proportional to 297,835.76, 446,808.98 and 98,170.16 is: 147,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,835.76 : 446,808.98 = 98,170.16 : x
  2. Step 2: Convert to fraction form
    297,835.76/446,808.98 = 98,170.16/x
  3. Step 3: Cross multiply
    297,835.76x = 446,808.98 × 98,170.16
  4. Step 4: Simplify right side
    297,835.76x = 43,863,309,056.04
  5. Step 5: Solve for x
    x = 43,863,309,056.04/297,835.76
  6. Step 6: Final answer
    x = 147,273.48

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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.