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Finding the Fourth Proportional to 433,628, 650,719.62 and 234,087.33

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Solution

The fourth proportional to 433,628, 650,719.62 and 234,087.33 is: 351,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,628 : 650,719.62 = 234,087.33 : x
  2. Step 2: Convert to fraction form
    433,628/650,719.62 = 234,087.33/x
  3. Step 3: Cross multiply
    433,628x = 650,719.62 × 234,087.33
  4. Step 4: Simplify right side
    433,628x = 152,325,218,424.42
  5. Step 5: Solve for x
    x = 152,325,218,424.42/433,628
  6. Step 6: Final answer
    x = 351,280.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.