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Finding the Fourth Proportional to 410,313.16, 566,532.06 and 265,204.78

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Solution

The fourth proportional to 410,313.16, 566,532.06 and 265,204.78 is: 366,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,313.16 : 566,532.06 = 265,204.78 : x
  2. Step 2: Convert to fraction form
    410,313.16/566,532.06 = 265,204.78/x
  3. Step 3: Cross multiply
    410,313.16x = 566,532.06 × 265,204.78
  4. Step 4: Simplify right side
    410,313.16x = 150,247,010,335.25
  5. Step 5: Solve for x
    x = 150,247,010,335.25/410,313.16
  6. Step 6: Final answer
    x = 366,176.44

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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.