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Finding the Fourth Proportional to 476,817.36, 715,400.46 and 448,648.80

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Solution

The fourth proportional to 476,817.36, 715,400.46 and 448,648.80 is: 673,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,817.36 : 715,400.46 = 448,648.80 : x
  2. Step 2: Convert to fraction form
    476,817.36/715,400.46 = 448,648.80/x
  3. Step 3: Cross multiply
    476,817.36x = 715,400.46 × 448,648.80
  4. Step 4: Simplify right side
    476,817.36x = 320,963,557,898.45
  5. Step 5: Solve for x
    x = 320,963,557,898.45/476,817.36
  6. Step 6: Final answer
    x = 673,137.32

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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.