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Finding the Fourth Proportional to 333,238, 459,868.44 and 182,335

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Solution

The fourth proportional to 333,238, 459,868.44 and 182,335 is: 251,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,238 : 459,868.44 = 182,335 : x
  2. Step 2: Convert to fraction form
    333,238/459,868.44 = 182,335/x
  3. Step 3: Cross multiply
    333,238x = 459,868.44 × 182,335
  4. Step 4: Simplify right side
    333,238x = 83,850,112,007.40
  5. Step 5: Solve for x
    x = 83,850,112,007.40/333,238
  6. Step 6: Final answer
    x = 251,622.30

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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.