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Finding the Fourth Proportional to 345,822.50, 477,628.72 and 232,448.42

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Solution

The fourth proportional to 345,822.50, 477,628.72 and 232,448.42 is: 321,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,822.50 : 477,628.72 = 232,448.42 : x
  2. Step 2: Convert to fraction form
    345,822.50/477,628.72 = 232,448.42/x
  3. Step 3: Cross multiply
    345,822.50x = 477,628.72 × 232,448.42
  4. Step 4: Simplify right side
    345,822.50x = 111,024,041,310.62
  5. Step 5: Solve for x
    x = 111,024,041,310.62/345,822.50
  6. Step 6: Final answer
    x = 321,043.43

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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.