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Finding the Fourth Proportional to 395,477.53, 545,758.79 and 214,189.45

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Solution

The fourth proportional to 395,477.53, 545,758.79 and 214,189.45 is: 295,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,477.53 : 545,758.79 = 214,189.45 : x
  2. Step 2: Convert to fraction form
    395,477.53/545,758.79 = 214,189.45/x
  3. Step 3: Cross multiply
    395,477.53x = 545,758.79 × 214,189.45
  4. Step 4: Simplify right side
    395,477.53x = 116,895,774,233.84
  5. Step 5: Solve for x
    x = 116,895,774,233.84/395,477.53
  6. Step 6: Final answer
    x = 295,581.33

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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.