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Finding the Fourth Proportional to 350,032.10, 525,048.15 and 200,732.90

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Solution

The fourth proportional to 350,032.10, 525,048.15 and 200,732.90 is: 301,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,032.10 : 525,048.15 = 200,732.90 : x
  2. Step 2: Convert to fraction form
    350,032.10/525,048.15 = 200,732.90/x
  3. Step 3: Cross multiply
    350,032.10x = 525,048.15 × 200,732.90
  4. Step 4: Simplify right side
    350,032.10x = 105,394,437,789.14
  5. Step 5: Solve for x
    x = 105,394,437,789.14/350,032.10
  6. Step 6: Final answer
    x = 301,099.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.