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Finding the Fourth Proportional to 331,471.80, 457,430.94 and 180,568.80

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Solution

The fourth proportional to 331,471.80, 457,430.94 and 180,568.80 is: 249,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,471.80 : 457,430.94 = 180,568.80 : x
  2. Step 2: Convert to fraction form
    331,471.80/457,430.94 = 180,568.80/x
  3. Step 3: Cross multiply
    331,471.80x = 457,430.94 × 180,568.80
  4. Step 4: Simplify right side
    331,471.80x = 82,597,755,918.67
  5. Step 5: Solve for x
    x = 82,597,755,918.67/331,471.80
  6. Step 6: Final answer
    x = 249,184.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.