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Finding the Fourth Proportional to 383,678.88, 575,517.51 and 103,196.40

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Solution

The fourth proportional to 383,678.88, 575,517.51 and 103,196.40 is: 154,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,678.88 : 575,517.51 = 103,196.40 : x
  2. Step 2: Convert to fraction form
    383,678.88/575,517.51 = 103,196.40/x
  3. Step 3: Cross multiply
    383,678.88x = 575,517.51 × 103,196.40
  4. Step 4: Simplify right side
    383,678.88x = 59,391,335,168.96
  5. Step 5: Solve for x
    x = 59,391,335,168.96/383,678.88
  6. Step 6: Final answer
    x = 154,794.38

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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.