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Finding the Fourth Proportional to 422,210.58, 633,648.70 and 156,047.20

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Solution

The fourth proportional to 422,210.58, 633,648.70 and 156,047.20 is: 234,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,210.58 : 633,648.70 = 156,047.20 : x
  2. Step 2: Convert to fraction form
    422,210.58/633,648.70 = 156,047.20/x
  3. Step 3: Cross multiply
    422,210.58x = 633,648.70 × 156,047.20
  4. Step 4: Simplify right side
    422,210.58x = 98,879,105,418.64
  5. Step 5: Solve for x
    x = 98,879,105,418.64/422,210.58
  6. Step 6: Final answer
    x = 234,193.81

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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.