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Finding the Fourth Proportional to 321,973.60, 482,960.40 and 188,917.60

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Solution

The fourth proportional to 321,973.60, 482,960.40 and 188,917.60 is: 283,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,973.60 : 482,960.40 = 188,917.60 : x
  2. Step 2: Convert to fraction form
    321,973.60/482,960.40 = 188,917.60/x
  3. Step 3: Cross multiply
    321,973.60x = 482,960.40 × 188,917.60
  4. Step 4: Simplify right side
    321,973.60x = 91,239,719,663.04
  5. Step 5: Solve for x
    x = 91,239,719,663.04/321,973.60
  6. Step 6: Final answer
    x = 283,376.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.