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Finding the Fourth Proportional to 535,738.20, 803,607.30 and 161,712.60

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Solution

The fourth proportional to 535,738.20, 803,607.30 and 161,712.60 is: 242,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,738.20 : 803,607.30 = 161,712.60 : x
  2. Step 2: Convert to fraction form
    535,738.20/803,607.30 = 161,712.60/x
  3. Step 3: Cross multiply
    535,738.20x = 803,607.30 × 161,712.60
  4. Step 4: Simplify right side
    535,738.20x = 129,953,425,861.98
  5. Step 5: Solve for x
    x = 129,953,425,861.98/535,738.20
  6. Step 6: Final answer
    x = 242,568.90

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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.