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Finding the Fourth Proportional to 549,741.40, 824,496.90 and 269,459.80

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Solution

The fourth proportional to 549,741.40, 824,496.90 and 269,459.80 is: 404,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,741.40 : 824,496.90 = 269,459.80 : x
  2. Step 2: Convert to fraction form
    549,741.40/824,496.90 = 269,459.80/x
  3. Step 3: Cross multiply
    549,741.40x = 824,496.90 × 269,459.80
  4. Step 4: Simplify right side
    549,741.40x = 222,168,769,774.62
  5. Step 5: Solve for x
    x = 222,168,769,774.62/549,741.40
  6. Step 6: Final answer
    x = 404,133.23

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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.