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Finding the Fourth Proportional to 385,563.64, 532,077.76 and 215,797.76

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Solution

The fourth proportional to 385,563.64, 532,077.76 and 215,797.76 is: 297,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,563.64 : 532,077.76 = 215,797.76 : x
  2. Step 2: Convert to fraction form
    385,563.64/532,077.76 = 215,797.76/x
  3. Step 3: Cross multiply
    385,563.64x = 532,077.76 × 215,797.76
  4. Step 4: Simplify right side
    385,563.64x = 114,821,188,753.82
  5. Step 5: Solve for x
    x = 114,821,188,753.82/385,563.64
  6. Step 6: Final answer
    x = 297,800.87

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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.