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Finding the Fourth Proportional to 471,638.46, 707,457.93 and 151,790.28

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Solution

The fourth proportional to 471,638.46, 707,457.93 and 151,790.28 is: 227,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,638.46 : 707,457.93 = 151,790.28 : x
  2. Step 2: Convert to fraction form
    471,638.46/707,457.93 = 151,790.28/x
  3. Step 3: Cross multiply
    471,638.46x = 707,457.93 × 151,790.28
  4. Step 4: Simplify right side
    471,638.46x = 107,385,236,523.97
  5. Step 5: Solve for x
    x = 107,385,236,523.97/471,638.46
  6. Step 6: Final answer
    x = 227,685.50

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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.