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Finding the Fourth Proportional to 313,978.77, 433,295.98 and 170,743.02

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Solution

The fourth proportional to 313,978.77, 433,295.98 and 170,743.02 is: 235,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,978.77 : 433,295.98 = 170,743.02 : x
  2. Step 2: Convert to fraction form
    313,978.77/433,295.98 = 170,743.02/x
  3. Step 3: Cross multiply
    313,978.77x = 433,295.98 × 170,743.02
  4. Step 4: Simplify right side
    313,978.77x = 73,982,264,179.06
  5. Step 5: Solve for x
    x = 73,982,264,179.06/313,978.77
  6. Step 6: Final answer
    x = 235,628.24

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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.