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Finding the Fourth Proportional to 471,343.68, 708,196.56 and 443,000.16

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Solution

The fourth proportional to 471,343.68, 708,196.56 and 443,000.16 is: 665,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,343.68 : 708,196.56 = 443,000.16 : x
  2. Step 2: Convert to fraction form
    471,343.68/708,196.56 = 443,000.16/x
  3. Step 3: Cross multiply
    471,343.68x = 708,196.56 × 443,000.16
  4. Step 4: Simplify right side
    471,343.68x = 313,731,189,391.45
  5. Step 5: Solve for x
    x = 313,731,189,391.45/471,343.68
  6. Step 6: Final answer
    x = 665,610.26

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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.