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Finding the Fourth Proportional to 383,377.69, 575,066.46 and 102,894.94

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Solution

The fourth proportional to 383,377.69, 575,066.46 and 102,894.94 is: 154,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,377.69 : 575,066.46 = 102,894.94 : x
  2. Step 2: Convert to fraction form
    383,377.69/575,066.46 = 102,894.94/x
  3. Step 3: Cross multiply
    383,377.69x = 575,066.46 × 102,894.94
  4. Step 4: Simplify right side
    383,377.69x = 59,171,428,897.71
  5. Step 5: Solve for x
    x = 59,171,428,897.71/383,377.69
  6. Step 6: Final answer
    x = 154,342.39

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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.