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Finding the Fourth Proportional to 456,796.46, 685,240.32 and 157,237.40

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Solution

The fourth proportional to 456,796.46, 685,240.32 and 157,237.40 is: 235,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,796.46 : 685,240.32 = 157,237.40 : x
  2. Step 2: Convert to fraction form
    456,796.46/685,240.32 = 157,237.40/x
  3. Step 3: Cross multiply
    456,796.46x = 685,240.32 × 157,237.40
  4. Step 4: Simplify right side
    456,796.46x = 107,745,406,291.97
  5. Step 5: Solve for x
    x = 107,745,406,291.97/456,796.46
  6. Step 6: Final answer
    x = 235,871.81

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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.