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Finding the Fourth Proportional to 333,077, 459,653.56 and 182,174

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Solution

The fourth proportional to 333,077, 459,653.56 and 182,174 is: 251,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,077 : 459,653.56 = 182,174 : x
  2. Step 2: Convert to fraction form
    333,077/459,653.56 = 182,174/x
  3. Step 3: Cross multiply
    333,077x = 459,653.56 × 182,174
  4. Step 4: Simplify right side
    333,077x = 83,736,927,639.44
  5. Step 5: Solve for x
    x = 83,736,927,639.44/333,077
  6. Step 6: Final answer
    x = 251,404.11

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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.