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Finding the Fourth Proportional to 333,914.64, 500,930.28 and 146,921.28

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Solution

The fourth proportional to 333,914.64, 500,930.28 and 146,921.28 is: 220,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,914.64 : 500,930.28 = 146,921.28 : x
  2. Step 2: Convert to fraction form
    333,914.64/500,930.28 = 146,921.28/x
  3. Step 3: Cross multiply
    333,914.64x = 500,930.28 × 146,921.28
  4. Step 4: Simplify right side
    333,914.64x = 73,597,317,928.36
  5. Step 5: Solve for x
    x = 73,597,317,928.36/333,914.64
  6. Step 6: Final answer
    x = 220,407.58

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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.