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Finding the Fourth Proportional to 457,046.15, 685,149.32 and 157,455.50

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Solution

The fourth proportional to 457,046.15, 685,149.32 and 157,455.50 is: 236,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,046.15 : 685,149.32 = 157,455.50 : x
  2. Step 2: Convert to fraction form
    457,046.15/685,149.32 = 157,455.50/x
  3. Step 3: Cross multiply
    457,046.15x = 685,149.32 × 157,455.50
  4. Step 4: Simplify right side
    457,046.15x = 107,880,524,542.24
  5. Step 5: Solve for x
    x = 107,880,524,542.24/457,046.15
  6. Step 6: Final answer
    x = 236,038.58

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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.