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Finding the Fourth Proportional to 344,139.84, 474,829.92 and 200,818.08

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Solution

The fourth proportional to 344,139.84, 474,829.92 and 200,818.08 is: 277,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,139.84 : 474,829.92 = 200,818.08 : x
  2. Step 2: Convert to fraction form
    344,139.84/474,829.92 = 200,818.08/x
  3. Step 3: Cross multiply
    344,139.84x = 474,829.92 × 200,818.08
  4. Step 4: Simplify right side
    344,139.84x = 95,354,432,860.95
  5. Step 5: Solve for x
    x = 95,354,432,860.95/344,139.84
  6. Step 6: Final answer
    x = 277,080.48

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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.