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Finding the Fourth Proportional to 334,287, 461,323.35 and 183,384

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Solution

The fourth proportional to 334,287, 461,323.35 and 183,384 is: 253,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,287 : 461,323.35 = 183,384 : x
  2. Step 2: Convert to fraction form
    334,287/461,323.35 = 183,384/x
  3. Step 3: Cross multiply
    334,287x = 461,323.35 × 183,384
  4. Step 4: Simplify right side
    334,287x = 84,599,321,216.40
  5. Step 5: Solve for x
    x = 84,599,321,216.40/334,287
  6. Step 6: Final answer
    x = 253,073.92

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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.