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Finding the Fourth Proportional to 457,195.49, 685,826.04 and 157,671.67

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Solution

The fourth proportional to 457,195.49, 685,826.04 and 157,671.67 is: 236,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,195.49 : 685,826.04 = 157,671.67 : x
  2. Step 2: Convert to fraction form
    457,195.49/685,826.04 = 157,671.67/x
  3. Step 3: Cross multiply
    457,195.49x = 685,826.04 × 157,671.67
  4. Step 4: Simplify right side
    457,195.49x = 108,135,333,627.16
  5. Step 5: Solve for x
    x = 108,135,333,627.16/457,195.49
  6. Step 6: Final answer
    x = 236,518.81

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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.