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Finding the Fourth Proportional to 469,847.20, 704,770.80 and 154,314.40

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Solution

The fourth proportional to 469,847.20, 704,770.80 and 154,314.40 is: 231,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,847.20 : 704,770.80 = 154,314.40 : x
  2. Step 2: Convert to fraction form
    469,847.20/704,770.80 = 154,314.40/x
  3. Step 3: Cross multiply
    469,847.20x = 704,770.80 × 154,314.40
  4. Step 4: Simplify right side
    469,847.20x = 108,756,283,139.52
  5. Step 5: Solve for x
    x = 108,756,283,139.52/469,847.20
  6. Step 6: Final answer
    x = 231,471.60

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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.