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Finding the Fourth Proportional to 472,629.26, 708,310.62 and 442,361.98

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Solution

The fourth proportional to 472,629.26, 708,310.62 and 442,361.98 is: 662,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,629.26 : 708,310.62 = 442,361.98 : x
  2. Step 2: Convert to fraction form
    472,629.26/708,310.62 = 442,361.98/x
  3. Step 3: Cross multiply
    472,629.26x = 708,310.62 × 442,361.98
  4. Step 4: Simplify right side
    472,629.26x = 313,329,688,318.23
  5. Step 5: Solve for x
    x = 313,329,688,318.23/472,629.26
  6. Step 6: Final answer
    x = 662,950.25

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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.