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Finding the Fourth Proportional to 314,487.40, 471,212.70 and 261,610.60

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Solution

The fourth proportional to 314,487.40, 471,212.70 and 261,610.60 is: 391,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,487.40 : 471,212.70 = 261,610.60 : x
  2. Step 2: Convert to fraction form
    314,487.40/471,212.70 = 261,610.60/x
  3. Step 3: Cross multiply
    314,487.40x = 471,212.70 × 261,610.60
  4. Step 4: Simplify right side
    314,487.40x = 123,274,237,174.62
  5. Step 5: Solve for x
    x = 123,274,237,174.62/314,487.40
  6. Step 6: Final answer
    x = 391,984.66

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1.5x scale

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.