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Finding the Fourth Proportional to 383,958, 529,862.04 and 214,192.08

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Solution

The fourth proportional to 383,958, 529,862.04 and 214,192.08 is: 295,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,958 : 529,862.04 = 214,192.08 : x
  2. Step 2: Convert to fraction form
    383,958/529,862.04 = 214,192.08/x
  3. Step 3: Cross multiply
    383,958x = 529,862.04 × 214,192.08
  4. Step 4: Simplify right side
    383,958x = 113,492,252,460.64
  5. Step 5: Solve for x
    x = 113,492,252,460.64/383,958
  6. Step 6: Final answer
    x = 295,585.07

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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.