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Finding the Fourth Proportional to 411,909.81, 568,142.40 and 378,027.64

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Solution

The fourth proportional to 411,909.81, 568,142.40 and 378,027.64 is: 521,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,909.81 : 568,142.40 = 378,027.64 : x
  2. Step 2: Convert to fraction form
    411,909.81/568,142.40 = 378,027.64/x
  3. Step 3: Cross multiply
    411,909.81x = 568,142.40 × 378,027.64
  4. Step 4: Simplify right side
    411,909.81x = 214,773,530,655.94
  5. Step 5: Solve for x
    x = 214,773,530,655.94/411,909.81
  6. Step 6: Final answer
    x = 521,409.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.