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Finding the Fourth Proportional to 540,793, 811,191.66 and 146,809

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Solution

The fourth proportional to 540,793, 811,191.66 and 146,809 is: 220,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,793 : 811,191.66 = 146,809 : x
  2. Step 2: Convert to fraction form
    540,793/811,191.66 = 146,809/x
  3. Step 3: Cross multiply
    540,793x = 811,191.66 × 146,809
  4. Step 4: Simplify right side
    540,793x = 119,090,236,412.94
  5. Step 5: Solve for x
    x = 119,090,236,412.94/540,793
  6. Step 6: Final answer
    x = 220,214.09

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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.