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Finding the Fourth Proportional to 333,172, 459,784.02 and 182,272.24

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Solution

The fourth proportional to 333,172, 459,784.02 and 182,272.24 is: 251,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,172 : 459,784.02 = 182,272.24 : x
  2. Step 2: Convert to fraction form
    333,172/459,784.02 = 182,272.24/x
  3. Step 3: Cross multiply
    333,172x = 459,784.02 × 182,272.24
  4. Step 4: Simplify right side
    333,172x = 83,805,863,241.60
  5. Step 5: Solve for x
    x = 83,805,863,241.60/333,172
  6. Step 6: Final answer
    x = 251,539.33

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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.