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Finding the Fourth Proportional to 406,567.79, 609,445.70 and 271,745.42

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Solution

The fourth proportional to 406,567.79, 609,445.70 and 271,745.42 is: 407,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,567.79 : 609,445.70 = 271,745.42 : x
  2. Step 2: Convert to fraction form
    406,567.79/609,445.70 = 271,745.42/x
  3. Step 3: Cross multiply
    406,567.79x = 609,445.70 × 271,745.42
  4. Step 4: Simplify right side
    406,567.79x = 165,614,074,326.78
  5. Step 5: Solve for x
    x = 165,614,074,326.78/406,567.79
  6. Step 6: Final answer
    x = 407,346.77

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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.