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Finding the Fourth Proportional to 233,698.26, 350,511.84 and 65,200.84

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Solution

The fourth proportional to 233,698.26, 350,511.84 and 65,200.84 is: 97,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,698.26 : 350,511.84 = 65,200.84 : x
  2. Step 2: Convert to fraction form
    233,698.26/350,511.84 = 65,200.84/x
  3. Step 3: Cross multiply
    233,698.26x = 350,511.84 × 65,200.84
  4. Step 4: Simplify right side
    233,698.26x = 22,853,666,397.95
  5. Step 5: Solve for x
    x = 22,853,666,397.95/233,698.26
  6. Step 6: Final answer
    x = 97,791.34

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1.5x scale

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.