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Finding the Fourth Proportional to 350,361, 483,498.72 and 199,458

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Solution

The fourth proportional to 350,361, 483,498.72 and 199,458 is: 275,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,361 : 483,498.72 = 199,458 : x
  2. Step 2: Convert to fraction form
    350,361/483,498.72 = 199,458/x
  3. Step 3: Cross multiply
    350,361x = 483,498.72 × 199,458
  4. Step 4: Simplify right side
    350,361x = 96,437,687,693.76
  5. Step 5: Solve for x
    x = 96,437,687,693.76/350,361
  6. Step 6: Final answer
    x = 275,252.35

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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.