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Finding the Fourth Proportional to 395,322.69, 545,538.69 and 214,033.14

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Solution

The fourth proportional to 395,322.69, 545,538.69 and 214,033.14 is: 295,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,322.69 : 545,538.69 = 214,033.14 : x
  2. Step 2: Convert to fraction form
    395,322.69/545,538.69 = 214,033.14/x
  3. Step 3: Cross multiply
    395,322.69x = 545,538.69 × 214,033.14
  4. Step 4: Simplify right side
    395,322.69x = 116,763,358,812.19
  5. Step 5: Solve for x
    x = 116,763,358,812.19/395,322.69
  6. Step 6: Final answer
    x = 295,362.15

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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.