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Finding the Fourth Proportional to 595,424.94, 821,682 and 323,495.07

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Solution

The fourth proportional to 595,424.94, 821,682 and 323,495.07 is: 446,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,424.94 : 821,682 = 323,495.07 : x
  2. Step 2: Convert to fraction form
    595,424.94/821,682 = 323,495.07/x
  3. Step 3: Cross multiply
    595,424.94x = 821,682 × 323,495.07
  4. Step 4: Simplify right side
    595,424.94x = 265,810,076,107.74
  5. Step 5: Solve for x
    x = 265,810,076,107.74/595,424.94
  6. Step 6: Final answer
    x = 446,420.80

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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.