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Finding the Fourth Proportional to 540,866, 811,126.46 and 185,794.40

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Solution

The fourth proportional to 540,866, 811,126.46 and 185,794.40 is: 278,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,866 : 811,126.46 = 185,794.40 : x
  2. Step 2: Convert to fraction form
    540,866/811,126.46 = 185,794.40/x
  3. Step 3: Cross multiply
    540,866x = 811,126.46 × 185,794.40
  4. Step 4: Simplify right side
    540,866x = 150,702,753,959.82
  5. Step 5: Solve for x
    x = 150,702,753,959.82/540,866
  6. Step 6: Final answer
    x = 278,632.33

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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.