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Finding the Fourth Proportional to 395,497.44, 545,783.16 and 214,205.16

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Solution

The fourth proportional to 395,497.44, 545,783.16 and 214,205.16 is: 295,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,497.44 : 545,783.16 = 214,205.16 : x
  2. Step 2: Convert to fraction form
    395,497.44/545,783.16 = 214,205.16/x
  3. Step 3: Cross multiply
    395,497.44x = 545,783.16 × 214,205.16
  4. Step 4: Simplify right side
    395,497.44x = 116,909,569,113.11
  5. Step 5: Solve for x
    x = 116,909,569,113.11/395,497.44
  6. Step 6: Final answer
    x = 295,601.33

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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.