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Finding the Fourth Proportional to 297,826.59, 446,795.24 and 98,161.01

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Solution

The fourth proportional to 297,826.59, 446,795.24 and 98,161.01 is: 147,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,826.59 : 446,795.24 = 98,161.01 : x
  2. Step 2: Convert to fraction form
    297,826.59/446,795.24 = 98,161.01/x
  3. Step 3: Cross multiply
    297,826.59x = 446,795.24 × 98,161.01
  4. Step 4: Simplify right side
    297,826.59x = 43,857,871,708.50
  5. Step 5: Solve for x
    x = 43,857,871,708.50/297,826.59
  6. Step 6: Final answer
    x = 147,259.76

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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.