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Finding the Fourth Proportional to 578,542.24, 798,418.32 and 323,878.24

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Solution

The fourth proportional to 578,542.24, 798,418.32 and 323,878.24 is: 446,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,542.24 : 798,418.32 = 323,878.24 : x
  2. Step 2: Convert to fraction form
    578,542.24/798,418.32 = 323,878.24/x
  3. Step 3: Cross multiply
    578,542.24x = 798,418.32 × 323,878.24
  4. Step 4: Simplify right side
    578,542.24x = 258,590,320,265.36
  5. Step 5: Solve for x
    x = 258,590,320,265.36/578,542.24
  6. Step 6: Final answer
    x = 446,968.78

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1.5x scale

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.