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Finding the Fourth Proportional to 395,494.28, 545,779.36 and 214,202.08

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Solution

The fourth proportional to 395,494.28, 545,779.36 and 214,202.08 is: 295,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,494.28 : 545,779.36 = 214,202.08 : x
  2. Step 2: Convert to fraction form
    395,494.28/545,779.36 = 214,202.08/x
  3. Step 3: Cross multiply
    395,494.28x = 545,779.36 × 214,202.08
  4. Step 4: Simplify right side
    395,494.28x = 116,907,074,133.07
  5. Step 5: Solve for x
    x = 116,907,074,133.07/395,494.28
  6. Step 6: Final answer
    x = 295,597.38

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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.