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Finding the Fourth Proportional to 549,452.70, 824,054.31 and 194,466.56

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Solution

The fourth proportional to 549,452.70, 824,054.31 and 194,466.56 is: 291,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,452.70 : 824,054.31 = 194,466.56 : x
  2. Step 2: Convert to fraction form
    549,452.70/824,054.31 = 194,466.56/x
  3. Step 3: Cross multiply
    549,452.70x = 824,054.31 × 194,466.56
  4. Step 4: Simplify right side
    549,452.70x = 160,251,002,798.60
  5. Step 5: Solve for x
    x = 160,251,002,798.60/549,452.70
  6. Step 6: Final answer
    x = 291,655.68

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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.