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Finding the Fourth Proportional to 410,346.45, 566,534.12 and 265,228.20

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Solution

The fourth proportional to 410,346.45, 566,534.12 and 265,228.20 is: 366,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,346.45 : 566,534.12 = 265,228.20 : x
  2. Step 2: Convert to fraction form
    410,346.45/566,534.12 = 265,228.20/x
  3. Step 3: Cross multiply
    410,346.45x = 566,534.12 × 265,228.20
  4. Step 4: Simplify right side
    410,346.45x = 150,260,823,560.04
  5. Step 5: Solve for x
    x = 150,260,823,560.04/410,346.45
  6. Step 6: Final answer
    x = 366,180.39

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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.