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Finding the Fourth Proportional to 384,001.54, 529,922.46 and 214,235.72

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Solution

The fourth proportional to 384,001.54, 529,922.46 and 214,235.72 is: 295,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,001.54 : 529,922.46 = 214,235.72 : x
  2. Step 2: Convert to fraction form
    384,001.54/529,922.46 = 214,235.72/x
  3. Step 3: Cross multiply
    384,001.54x = 529,922.46 × 214,235.72
  4. Step 4: Simplify right side
    384,001.54x = 113,528,319,762.27
  5. Step 5: Solve for x
    x = 113,528,319,762.27/384,001.54
  6. Step 6: Final answer
    x = 295,645.48

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