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Finding the Fourth Proportional to 383,522.64, 575,367 and 146,865.33

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Solution

The fourth proportional to 383,522.64, 575,367 and 146,865.33 is: 220,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,522.64 : 575,367 = 146,865.33 : x
  2. Step 2: Convert to fraction form
    383,522.64/575,367 = 146,865.33/x
  3. Step 3: Cross multiply
    383,522.64x = 575,367 × 146,865.33
  4. Step 4: Simplify right side
    383,522.64x = 84,501,464,326.11
  5. Step 5: Solve for x
    x = 84,501,464,326.11/383,522.64
  6. Step 6: Final answer
    x = 220,329.79

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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.