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Finding the Fourth Proportional to 410,182.94, 566,051.41 and 228,892.94

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Solution

The fourth proportional to 410,182.94, 566,051.41 and 228,892.94 is: 315,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,182.94 : 566,051.41 = 228,892.94 : x
  2. Step 2: Convert to fraction form
    410,182.94/566,051.41 = 228,892.94/x
  3. Step 3: Cross multiply
    410,182.94x = 566,051.41 × 228,892.94
  4. Step 4: Simplify right side
    410,182.94x = 129,565,171,648.36
  5. Step 5: Solve for x
    x = 129,565,171,648.36/410,182.94
  6. Step 6: Final answer
    x = 315,871.68

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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.