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Finding the Fourth Proportional to 478,742.42, 718,035.86 and 226,022.42

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Solution

The fourth proportional to 478,742.42, 718,035.86 and 226,022.42 is: 338,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,742.42 : 718,035.86 = 226,022.42 : x
  2. Step 2: Convert to fraction form
    478,742.42/718,035.86 = 226,022.42/x
  3. Step 3: Cross multiply
    478,742.42x = 718,035.86 × 226,022.42
  4. Step 4: Simplify right side
    478,742.42x = 162,292,199,698.86
  5. Step 5: Solve for x
    x = 162,292,199,698.86/478,742.42
  6. Step 6: Final answer
    x = 338,996.91

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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.