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Finding the Fourth Proportional to 431,466.93, 647,492.00 and 150,986.61

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Solution

The fourth proportional to 431,466.93, 647,492.00 and 150,986.61 is: 226,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,466.93 : 647,492.00 = 150,986.61 : x
  2. Step 2: Convert to fraction form
    431,466.93/647,492.00 = 150,986.61/x
  3. Step 3: Cross multiply
    431,466.93x = 647,492.00 × 150,986.61
  4. Step 4: Simplify right side
    431,466.93x = 97,762,621,327.19
  5. Step 5: Solve for x
    x = 97,762,621,327.19/431,466.93
  6. Step 6: Final answer
    x = 226,581.96

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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.