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Finding the Fourth Proportional to 500,894.08, 751,464 and 145,911.36

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Solution

The fourth proportional to 500,894.08, 751,464 and 145,911.36 is: 218,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,894.08 : 751,464 = 145,911.36 : x
  2. Step 2: Convert to fraction form
    500,894.08/751,464 = 145,911.36/x
  3. Step 3: Cross multiply
    500,894.08x = 751,464 × 145,911.36
  4. Step 4: Simplify right side
    500,894.08x = 109,647,134,231.04
  5. Step 5: Solve for x
    x = 109,647,134,231.04/500,894.08
  6. Step 6: Final answer
    x = 218,902.84

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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.