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Finding the Fourth Proportional to 456,841.38, 629,314.20 and 388,639.80

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Solution

The fourth proportional to 456,841.38, 629,314.20 and 388,639.80 is: 535,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,841.38 : 629,314.20 = 388,639.80 : x
  2. Step 2: Convert to fraction form
    456,841.38/629,314.20 = 388,639.80/x
  3. Step 3: Cross multiply
    456,841.38x = 629,314.20 × 388,639.80
  4. Step 4: Simplify right side
    456,841.38x = 244,576,544,825.16
  5. Step 5: Solve for x
    x = 244,576,544,825.16/456,841.38
  6. Step 6: Final answer
    x = 535,364.25

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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.