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Finding the Fourth Proportional to 540,098.64, 809,647.17 and 185,028.30

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Solution

The fourth proportional to 540,098.64, 809,647.17 and 185,028.30 is: 277,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,098.64 : 809,647.17 = 185,028.30 : x
  2. Step 2: Convert to fraction form
    540,098.64/809,647.17 = 185,028.30/x
  3. Step 3: Cross multiply
    540,098.64x = 809,647.17 × 185,028.30
  4. Step 4: Simplify right side
    540,098.64x = 149,807,639,464.91
  5. Step 5: Solve for x
    x = 149,807,639,464.91/540,098.64
  6. Step 6: Final answer
    x = 277,370.89

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1.5x scale

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.