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Finding the Fourth Proportional to 419,742.76, 579,241.38 and 228,756.10

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Solution

The fourth proportional to 419,742.76, 579,241.38 and 228,756.10 is: 315,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,742.76 : 579,241.38 = 228,756.10 : x
  2. Step 2: Convert to fraction form
    419,742.76/579,241.38 = 228,756.10/x
  3. Step 3: Cross multiply
    419,742.76x = 579,241.38 × 228,756.10
  4. Step 4: Simplify right side
    419,742.76x = 132,504,999,047.42
  5. Step 5: Solve for x
    x = 132,504,999,047.42/419,742.76
  6. Step 6: Final answer
    x = 315,681.44

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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.