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Finding the Fourth Proportional to 345,817.50, 477,621.81 and 232,443.42

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Solution

The fourth proportional to 345,817.50, 477,621.81 and 232,443.42 is: 321,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,817.50 : 477,621.81 = 232,443.42 : x
  2. Step 2: Convert to fraction form
    345,817.50/477,621.81 = 232,443.42/x
  3. Step 3: Cross multiply
    345,817.50x = 477,621.81 × 232,443.42
  4. Step 4: Simplify right side
    345,817.50x = 111,020,046,982.99
  5. Step 5: Solve for x
    x = 111,020,046,982.99/345,817.50
  6. Step 6: Final answer
    x = 321,036.52

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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.