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Finding the Fourth Proportional to 409,311.66, 564,867.05 and 228,023.49

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Solution

The fourth proportional to 409,311.66, 564,867.05 and 228,023.49 is: 314,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,311.66 : 564,867.05 = 228,023.49 : x
  2. Step 2: Convert to fraction form
    409,311.66/564,867.05 = 228,023.49/x
  3. Step 3: Cross multiply
    409,311.66x = 564,867.05 × 228,023.49
  4. Step 4: Simplify right side
    409,311.66x = 128,802,954,986.89
  5. Step 5: Solve for x
    x = 128,802,954,986.89/409,311.66
  6. Step 6: Final answer
    x = 314,681.86

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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.