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Finding the Fourth Proportional to 456,785.46, 685,223.82 and 157,226.40

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Solution

The fourth proportional to 456,785.46, 685,223.82 and 157,226.40 is: 235,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,785.46 : 685,223.82 = 157,226.40 : x
  2. Step 2: Convert to fraction form
    456,785.46/685,223.82 = 157,226.40/x
  3. Step 3: Cross multiply
    456,785.46x = 685,223.82 × 157,226.40
  4. Step 4: Simplify right side
    456,785.46x = 107,735,274,412.85
  5. Step 5: Solve for x
    x = 107,735,274,412.85/456,785.46
  6. Step 6: Final answer
    x = 235,855.31

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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.