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Finding the Fourth Proportional to 410,289.69, 565,753.36 and 266,783.61

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Solution

The fourth proportional to 410,289.69, 565,753.36 and 266,783.61 is: 367,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,289.69 : 565,753.36 = 266,783.61 : x
  2. Step 2: Convert to fraction form
    410,289.69/565,753.36 = 266,783.61/x
  3. Step 3: Cross multiply
    410,289.69x = 565,753.36 × 266,783.61
  4. Step 4: Simplify right side
    410,289.69x = 150,933,723,750.43
  5. Step 5: Solve for x
    x = 150,933,723,750.43/410,289.69
  6. Step 6: Final answer
    x = 367,871.11

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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.