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Finding the Fourth Proportional to 383,653.76, 529,436.40 and 213,883.52

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Solution

The fourth proportional to 383,653.76, 529,436.40 and 213,883.52 is: 295,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,653.76 : 529,436.40 = 213,883.52 : x
  2. Step 2: Convert to fraction form
    383,653.76/529,436.40 = 213,883.52/x
  3. Step 3: Cross multiply
    383,653.76x = 529,436.40 × 213,883.52
  4. Step 4: Simplify right side
    383,653.76x = 113,237,720,848.13
  5. Step 5: Solve for x
    x = 113,237,720,848.13/383,653.76
  6. Step 6: Final answer
    x = 295,156.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.