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Finding the Fourth Proportional to 456,838.30, 685,300.65 and 124,414.30

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Solution

The fourth proportional to 456,838.30, 685,300.65 and 124,414.30 is: 186,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,838.30 : 685,300.65 = 124,414.30 : x
  2. Step 2: Convert to fraction form
    456,838.30/685,300.65 = 124,414.30/x
  3. Step 3: Cross multiply
    456,838.30x = 685,300.65 × 124,414.30
  4. Step 4: Simplify right side
    456,838.30x = 85,261,200,659.30
  5. Step 5: Solve for x
    x = 85,261,200,659.30/456,838.30
  6. Step 6: Final answer
    x = 186,633.21

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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.