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Finding the Fourth Proportional to 472,046.80, 707,033.40 and 284,731.60

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Solution

The fourth proportional to 472,046.80, 707,033.40 and 284,731.60 is: 426,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,046.80 : 707,033.40 = 284,731.60 : x
  2. Step 2: Convert to fraction form
    472,046.80/707,033.40 = 284,731.60/x
  3. Step 3: Cross multiply
    472,046.80x = 707,033.40 × 284,731.60
  4. Step 4: Simplify right side
    472,046.80x = 201,314,751,235.44
  5. Step 5: Solve for x
    x = 201,314,751,235.44/472,046.80
  6. Step 6: Final answer
    x = 426,472.02

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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.