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Finding the Fourth Proportional to 567,204, 850,941.78 and 162,401.84

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Solution

The fourth proportional to 567,204, 850,941.78 and 162,401.84 is: 243,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,204 : 850,941.78 = 162,401.84 : x
  2. Step 2: Convert to fraction form
    567,204/850,941.78 = 162,401.84/x
  3. Step 3: Cross multiply
    567,204x = 850,941.78 × 162,401.84
  4. Step 4: Simplify right side
    567,204x = 138,194,510,804.88
  5. Step 5: Solve for x
    x = 138,194,510,804.88/567,204
  6. Step 6: Final answer
    x = 243,641.64

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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.