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Finding the Fourth Proportional to 535,520.24, 803,281.44 and 161,543.60

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Solution

The fourth proportional to 535,520.24, 803,281.44 and 161,543.60 is: 242,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,520.24 : 803,281.44 = 161,543.60 : x
  2. Step 2: Convert to fraction form
    535,520.24/803,281.44 = 161,543.60/x
  3. Step 3: Cross multiply
    535,520.24x = 803,281.44 × 161,543.60
  4. Step 4: Simplify right side
    535,520.24x = 129,764,975,630.78
  5. Step 5: Solve for x
    x = 129,764,975,630.78/535,520.24
  6. Step 6: Final answer
    x = 242,315.73

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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.