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Finding the Fourth Proportional to 433,029.01, 649,674.74 and 196,308.13

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Solution

The fourth proportional to 433,029.01, 649,674.74 and 196,308.13 is: 294,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,029.01 : 649,674.74 = 196,308.13 : x
  2. Step 2: Convert to fraction form
    433,029.01/649,674.74 = 196,308.13/x
  3. Step 3: Cross multiply
    433,029.01x = 649,674.74 × 196,308.13
  4. Step 4: Simplify right side
    433,029.01x = 127,536,433,317.64
  5. Step 5: Solve for x
    x = 127,536,433,317.64/433,029.01
  6. Step 6: Final answer
    x = 294,521.68

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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.