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Finding the Fourth Proportional to 456,818.96, 685,274.09 and 157,259.90

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Solution

The fourth proportional to 456,818.96, 685,274.09 and 157,259.90 is: 235,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,818.96 : 685,274.09 = 157,259.90 : x
  2. Step 2: Convert to fraction form
    456,818.96/685,274.09 = 157,259.90/x
  3. Step 3: Cross multiply
    456,818.96x = 685,274.09 × 157,259.90
  4. Step 4: Simplify right side
    456,818.96x = 107,766,134,079.69
  5. Step 5: Solve for x
    x = 107,766,134,079.69/456,818.96
  6. Step 6: Final answer
    x = 235,905.56

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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.