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Finding the Fourth Proportional to 456,912.18, 685,441.71 and 157,319.10

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Solution

The fourth proportional to 456,912.18, 685,441.71 and 157,319.10 is: 236,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,912.18 : 685,441.71 = 157,319.10 : x
  2. Step 2: Convert to fraction form
    456,912.18/685,441.71 = 157,319.10/x
  3. Step 3: Cross multiply
    456,912.18x = 685,441.71 × 157,319.10
  4. Step 4: Simplify right side
    456,912.18x = 107,833,072,919.66
  5. Step 5: Solve for x
    x = 107,833,072,919.66/456,912.18
  6. Step 6: Final answer
    x = 236,003.94

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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.