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Finding the Fourth Proportional to 395,364.24, 545,602.59 and 214,076.16

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Solution

The fourth proportional to 395,364.24, 545,602.59 and 214,076.16 is: 295,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,364.24 : 545,602.59 = 214,076.16 : x
  2. Step 2: Convert to fraction form
    395,364.24/545,602.59 = 214,076.16/x
  3. Step 3: Cross multiply
    395,364.24x = 545,602.59 × 214,076.16
  4. Step 4: Simplify right side
    395,364.24x = 116,800,507,353.25
  5. Step 5: Solve for x
    x = 116,800,507,353.25/395,364.24
  6. Step 6: Final answer
    x = 295,425.07

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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.