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Finding the Fourth Proportional to 333,303, 459,958.14 and 182,400

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Solution

The fourth proportional to 333,303, 459,958.14 and 182,400 is: 251,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,303 : 459,958.14 = 182,400 : x
  2. Step 2: Convert to fraction form
    333,303/459,958.14 = 182,400/x
  3. Step 3: Cross multiply
    333,303x = 459,958.14 × 182,400
  4. Step 4: Simplify right side
    333,303x = 83,896,364,736
  5. Step 5: Solve for x
    x = 83,896,364,736/333,303
  6. Step 6: Final answer
    x = 251,712

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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.