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Finding the Fourth Proportional to 613,913.88, 921,013.26 and 193,178.82

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Solution

The fourth proportional to 613,913.88, 921,013.26 and 193,178.82 is: 289,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,913.88 : 921,013.26 = 193,178.82 : x
  2. Step 2: Convert to fraction form
    613,913.88/921,013.26 = 193,178.82/x
  3. Step 3: Cross multiply
    613,913.88x = 921,013.26 × 193,178.82
  4. Step 4: Simplify right side
    613,913.88x = 177,920,254,771.15
  5. Step 5: Solve for x
    x = 177,920,254,771.15/613,913.88
  6. Step 6: Final answer
    x = 289,813.05

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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.