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Finding the Fourth Proportional to 410,778.86, 566,901.43 and 229,491.77

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Solution

The fourth proportional to 410,778.86, 566,901.43 and 229,491.77 is: 316,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,778.86 : 566,901.43 = 229,491.77 : x
  2. Step 2: Convert to fraction form
    410,778.86/566,901.43 = 229,491.77/x
  3. Step 3: Cross multiply
    410,778.86x = 566,901.43 × 229,491.77
  4. Step 4: Simplify right side
    410,778.86x = 130,099,209,751.72
  5. Step 5: Solve for x
    x = 130,099,209,751.72/410,778.86
  6. Step 6: Final answer
    x = 316,713.50

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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.