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Finding the Fourth Proportional to 299,423.50, 449,206.04 and 97,019.28

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Solution

The fourth proportional to 299,423.50, 449,206.04 and 97,019.28 is: 145,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,423.50 : 449,206.04 = 97,019.28 : x
  2. Step 2: Convert to fraction form
    299,423.50/449,206.04 = 97,019.28/x
  3. Step 3: Cross multiply
    299,423.50x = 449,206.04 × 97,019.28
  4. Step 4: Simplify right side
    299,423.50x = 43,581,646,815.00
  5. Step 5: Solve for x
    x = 43,581,646,815.00/299,423.50
  6. Step 6: Final answer
    x = 145,551.86

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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.