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Finding the Fourth Proportional to 535,770.56, 803,446.38 and 194,132.84

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Solution

The fourth proportional to 535,770.56, 803,446.38 and 194,132.84 is: 291,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,770.56 : 803,446.38 = 194,132.84 : x
  2. Step 2: Convert to fraction form
    535,770.56/803,446.38 = 194,132.84/x
  3. Step 3: Cross multiply
    535,770.56x = 803,446.38 × 194,132.84
  4. Step 4: Simplify right side
    535,770.56x = 155,975,323,519.89
  5. Step 5: Solve for x
    x = 155,975,323,519.89/535,770.56
  6. Step 6: Final answer
    x = 291,123.36

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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.