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Finding the Fourth Proportional to 314,182, 471,365.80 and 181,157.68

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Solution

The fourth proportional to 314,182, 471,365.80 and 181,157.68 is: 271,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,182 : 471,365.80 = 181,157.68 : x
  2. Step 2: Convert to fraction form
    314,182/471,365.80 = 181,157.68/x
  3. Step 3: Cross multiply
    314,182x = 471,365.80 × 181,157.68
  4. Step 4: Simplify right side
    314,182x = 85,391,534,759.34
  5. Step 5: Solve for x
    x = 85,391,534,759.34/314,182
  6. Step 6: Final answer
    x = 271,790.03

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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.