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Finding the Fourth Proportional to 426,228.36, 588,172.14 and 265,078.86

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Solution

The fourth proportional to 426,228.36, 588,172.14 and 265,078.86 is: 365,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,228.36 : 588,172.14 = 265,078.86 : x
  2. Step 2: Convert to fraction form
    426,228.36/588,172.14 = 265,078.86/x
  3. Step 3: Cross multiply
    426,228.36x = 588,172.14 × 265,078.86
  4. Step 4: Simplify right side
    426,228.36x = 155,912,000,354.96
  5. Step 5: Solve for x
    x = 155,912,000,354.96/426,228.36
  6. Step 6: Final answer
    x = 365,794.52

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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.