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Finding the Fourth Proportional to 323,281.19, 446,007.43 and 322,782.77

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Solution

The fourth proportional to 323,281.19, 446,007.43 and 322,782.77 is: 445,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,281.19 : 446,007.43 = 322,782.77 : x
  2. Step 2: Convert to fraction form
    323,281.19/446,007.43 = 322,782.77/x
  3. Step 3: Cross multiply
    323,281.19x = 446,007.43 × 322,782.77
  4. Step 4: Simplify right side
    323,281.19x = 143,963,515,214.48
  5. Step 5: Solve for x
    x = 143,963,515,214.48/323,281.19
  6. Step 6: Final answer
    x = 445,319.80

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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.