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Finding the Fourth Proportional to 395,319.56, 545,534.38 and 214,030.02

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Solution

The fourth proportional to 395,319.56, 545,534.38 and 214,030.02 is: 295,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,319.56 : 545,534.38 = 214,030.02 : x
  2. Step 2: Convert to fraction form
    395,319.56/545,534.38 = 214,030.02/x
  3. Step 3: Cross multiply
    395,319.56x = 545,534.38 × 214,030.02
  4. Step 4: Simplify right side
    395,319.56x = 116,760,733,191.94
  5. Step 5: Solve for x
    x = 116,760,733,191.94/395,319.56
  6. Step 6: Final answer
    x = 295,357.84

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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.