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Finding the Fourth Proportional to 433,093.84, 649,479 and 148,703.68

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Solution

The fourth proportional to 433,093.84, 649,479 and 148,703.68 is: 222,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,093.84 : 649,479 = 148,703.68 : x
  2. Step 2: Convert to fraction form
    433,093.84/649,479 = 148,703.68/x
  3. Step 3: Cross multiply
    433,093.84x = 649,479 × 148,703.68
  4. Step 4: Simplify right side
    433,093.84x = 96,579,917,382.72
  5. Step 5: Solve for x
    x = 96,579,917,382.72/433,093.84
  6. Step 6: Final answer
    x = 222,999.98

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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.