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Finding the Fourth Proportional to 469,505.67, 705,254.29 and 442,173.63

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Solution

The fourth proportional to 469,505.67, 705,254.29 and 442,173.63 is: 664,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,505.67 : 705,254.29 = 442,173.63 : x
  2. Step 2: Convert to fraction form
    469,505.67/705,254.29 = 442,173.63/x
  3. Step 3: Cross multiply
    469,505.67x = 705,254.29 × 442,173.63
  4. Step 4: Simplify right side
    469,505.67x = 311,844,853,508.87
  5. Step 5: Solve for x
    x = 311,844,853,508.87/469,505.67
  6. Step 6: Final answer
    x = 664,198.27

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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.