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Finding the Fourth Proportional to 288,589.20, 398,156.00 and 186,743.51

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Solution

The fourth proportional to 288,589.20, 398,156.00 and 186,743.51 is: 257,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,589.20 : 398,156.00 = 186,743.51 : x
  2. Step 2: Convert to fraction form
    288,589.20/398,156.00 = 186,743.51/x
  3. Step 3: Cross multiply
    288,589.20x = 398,156.00 × 186,743.51
  4. Step 4: Simplify right side
    288,589.20x = 74,353,048,500.70
  5. Step 5: Solve for x
    x = 74,353,048,500.70/288,589.20
  6. Step 6: Final answer
    x = 257,643.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.