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Finding the Fourth Proportional to 457,180.65, 685,803.84 and 157,656.90

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Solution

The fourth proportional to 457,180.65, 685,803.84 and 157,656.90 is: 236,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,180.65 : 685,803.84 = 157,656.90 : x
  2. Step 2: Convert to fraction form
    457,180.65/685,803.84 = 157,656.90/x
  3. Step 3: Cross multiply
    457,180.65x = 685,803.84 × 157,656.90
  4. Step 4: Simplify right side
    457,180.65x = 108,121,707,422.50
  5. Step 5: Solve for x
    x = 108,121,707,422.50/457,180.65
  6. Step 6: Final answer
    x = 236,496.68

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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.