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Finding the Fourth Proportional to 297,892.60, 446,720.10 and 98,157.40

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Solution

The fourth proportional to 297,892.60, 446,720.10 and 98,157.40 is: 147,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,892.60 : 446,720.10 = 98,157.40 : x
  2. Step 2: Convert to fraction form
    297,892.60/446,720.10 = 98,157.40/x
  3. Step 3: Cross multiply
    297,892.60x = 446,720.10 × 98,157.40
  4. Step 4: Simplify right side
    297,892.60x = 43,848,883,543.74
  5. Step 5: Solve for x
    x = 43,848,883,543.74/297,892.60
  6. Step 6: Final answer
    x = 147,196.95

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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.