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Finding the Fourth Proportional to 433,073.16, 649,799.63 and 205,533.11

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Solution

The fourth proportional to 433,073.16, 649,799.63 and 205,533.11 is: 308,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,073.16 : 649,799.63 = 205,533.11 : x
  2. Step 2: Convert to fraction form
    433,073.16/649,799.63 = 205,533.11/x
  3. Step 3: Cross multiply
    433,073.16x = 649,799.63 × 205,533.11
  4. Step 4: Simplify right side
    433,073.16x = 133,555,340,464.01
  5. Step 5: Solve for x
    x = 133,555,340,464.01/433,073.16
  6. Step 6: Final answer
    x = 308,389.79

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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.