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Finding the Fourth Proportional to 456,762.69, 685,190.07 and 157,203.90

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Solution

The fourth proportional to 456,762.69, 685,190.07 and 157,203.90 is: 235,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,762.69 : 685,190.07 = 157,203.90 : x
  2. Step 2: Convert to fraction form
    456,762.69/685,190.07 = 157,203.90/x
  3. Step 3: Cross multiply
    456,762.69x = 685,190.07 × 157,203.90
  4. Step 4: Simplify right side
    456,762.69x = 107,714,551,245.27
  5. Step 5: Solve for x
    x = 107,714,551,245.27/456,762.69
  6. Step 6: Final answer
    x = 235,821.69

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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.