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Finding the Fourth Proportional to 456,872.52, 685,354.69 and 157,313.46

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Solution

The fourth proportional to 456,872.52, 685,354.69 and 157,313.46 is: 235,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,872.52 : 685,354.69 = 157,313.46 : x
  2. Step 2: Convert to fraction form
    456,872.52/685,354.69 = 157,313.46/x
  3. Step 3: Cross multiply
    456,872.52x = 685,354.69 × 157,313.46
  4. Step 4: Simplify right side
    456,872.52x = 107,815,517,611.13
  5. Step 5: Solve for x
    x = 107,815,517,611.13/456,872.52
  6. Step 6: Final answer
    x = 235,986.00

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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.