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Finding the Fourth Proportional to 433,802.16, 649,855.77 and 298,842.39

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Solution

The fourth proportional to 433,802.16, 649,855.77 and 298,842.39 is: 447,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,802.16 : 649,855.77 = 298,842.39 : x
  2. Step 2: Convert to fraction form
    433,802.16/649,855.77 = 298,842.39/x
  3. Step 3: Cross multiply
    433,802.16x = 649,855.77 × 298,842.39
  4. Step 4: Simplify right side
    433,802.16x = 194,204,451,462.09
  5. Step 5: Solve for x
    x = 194,204,451,462.09/433,802.16
  6. Step 6: Final answer
    x = 447,679.77

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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.