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Finding the Fourth Proportional to 334,504.44, 461,832.30 and 207,315

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Solution

The fourth proportional to 334,504.44, 461,832.30 and 207,315 is: 286,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,504.44 : 461,832.30 = 207,315 : x
  2. Step 2: Convert to fraction form
    334,504.44/461,832.30 = 207,315/x
  3. Step 3: Cross multiply
    334,504.44x = 461,832.30 × 207,315
  4. Step 4: Simplify right side
    334,504.44x = 95,744,763,274.50
  5. Step 5: Solve for x
    x = 95,744,763,274.50/334,504.44
  6. Step 6: Final answer
    x = 286,228.68

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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.