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Finding the Fourth Proportional to 333,114.80, 459,694.68 and 182,210

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Solution

The fourth proportional to 333,114.80, 459,694.68 and 182,210 is: 251,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,114.80 : 459,694.68 = 182,210 : x
  2. Step 2: Convert to fraction form
    333,114.80/459,694.68 = 182,210/x
  3. Step 3: Cross multiply
    333,114.80x = 459,694.68 × 182,210
  4. Step 4: Simplify right side
    333,114.80x = 83,760,967,642.80
  5. Step 5: Solve for x
    x = 83,760,967,642.80/333,114.80
  6. Step 6: Final answer
    x = 251,447.75

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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.