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Finding the Fourth Proportional to 457,149.94, 685,770.02 and 157,591.07

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Solution

The fourth proportional to 457,149.94, 685,770.02 and 157,591.07 is: 236,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,149.94 : 685,770.02 = 157,591.07 : x
  2. Step 2: Convert to fraction form
    457,149.94/685,770.02 = 157,591.07/x
  3. Step 3: Cross multiply
    457,149.94x = 685,770.02 × 157,591.07
  4. Step 4: Simplify right side
    457,149.94x = 108,071,231,225.72
  5. Step 5: Solve for x
    x = 108,071,231,225.72/457,149.94
  6. Step 6: Final answer
    x = 236,402.16

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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.