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Finding the Fourth Proportional to 565,965.12, 849,052.68 and 186,912.12

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Solution

The fourth proportional to 565,965.12, 849,052.68 and 186,912.12 is: 280,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,965.12 : 849,052.68 = 186,912.12 : x
  2. Step 2: Convert to fraction form
    565,965.12/849,052.68 = 186,912.12/x
  3. Step 3: Cross multiply
    565,965.12x = 849,052.68 × 186,912.12
  4. Step 4: Simplify right side
    565,965.12x = 158,698,236,410.48
  5. Step 5: Solve for x
    x = 158,698,236,410.48/565,965.12
  6. Step 6: Final answer
    x = 280,402.86

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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.