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Finding the Fourth Proportional to 395,349.30, 545,582.88 and 214,063.38

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Solution

The fourth proportional to 395,349.30, 545,582.88 and 214,063.38 is: 295,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,349.30 : 545,582.88 = 214,063.38 : x
  2. Step 2: Convert to fraction form
    395,349.30/545,582.88 = 214,063.38/x
  3. Step 3: Cross multiply
    395,349.30x = 545,582.88 × 214,063.38
  4. Step 4: Simplify right side
    395,349.30x = 116,789,315,362.93
  5. Step 5: Solve for x
    x = 116,789,315,362.93/395,349.30
  6. Step 6: Final answer
    x = 295,407.92

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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.