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Finding the Fourth Proportional to 410,152.21, 615,226.49 and 110,663.21

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Solution

The fourth proportional to 410,152.21, 615,226.49 and 110,663.21 is: 165,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,152.21 : 615,226.49 = 110,663.21 : x
  2. Step 2: Convert to fraction form
    410,152.21/615,226.49 = 110,663.21/x
  3. Step 3: Cross multiply
    410,152.21x = 615,226.49 × 110,663.21
  4. Step 4: Simplify right side
    410,152.21x = 68,082,939,660.17
  5. Step 5: Solve for x
    x = 68,082,939,660.17/410,152.21
  6. Step 6: Final answer
    x = 165,994.33

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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.