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Finding the Fourth Proportional to 297,775.80, 446,567.67 and 98,048.70

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Solution

The fourth proportional to 297,775.80, 446,567.67 and 98,048.70 is: 147,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,775.80 : 446,567.67 = 98,048.70 : x
  2. Step 2: Convert to fraction form
    297,775.80/446,567.67 = 98,048.70/x
  3. Step 3: Cross multiply
    297,775.80x = 446,567.67 × 98,048.70
  4. Step 4: Simplify right side
    297,775.80x = 43,785,379,505.53
  5. Step 5: Solve for x
    x = 43,785,379,505.53/297,775.80
  6. Step 6: Final answer
    x = 147,041.43

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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.