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Finding the Fourth Proportional to 395,357.40, 545,593.52 and 214,069.48

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Solution

The fourth proportional to 395,357.40, 545,593.52 and 214,069.48 is: 295,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,357.40 : 545,593.52 = 214,069.48 : x
  2. Step 2: Convert to fraction form
    395,357.40/545,593.52 = 214,069.48/x
  3. Step 3: Cross multiply
    395,357.40x = 545,593.52 × 214,069.48
  4. Step 4: Simplify right side
    395,357.40x = 116,794,921,117.77
  5. Step 5: Solve for x
    x = 116,794,921,117.77/395,357.40
  6. Step 6: Final answer
    x = 295,416.05

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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.