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Finding the Fourth Proportional to 383,524.45, 575,369.73 and 146,867.14

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Solution

The fourth proportional to 383,524.45, 575,369.73 and 146,867.14 is: 220,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,524.45 : 575,369.73 = 146,867.14 : x
  2. Step 2: Convert to fraction form
    383,524.45/575,369.73 = 146,867.14/x
  3. Step 3: Cross multiply
    383,524.45x = 575,369.73 × 146,867.14
  4. Step 4: Simplify right side
    383,524.45x = 84,502,907,406.88
  5. Step 5: Solve for x
    x = 84,502,907,406.88/383,524.45
  6. Step 6: Final answer
    x = 220,332.52

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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.