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Finding the Fourth Proportional to 410,124.89, 565,973.91 and 228,844.46

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Solution

The fourth proportional to 410,124.89, 565,973.91 and 228,844.46 is: 315,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,124.89 : 565,973.91 = 228,844.46 : x
  2. Step 2: Convert to fraction form
    410,124.89/565,973.91 = 228,844.46/x
  3. Step 3: Cross multiply
    410,124.89x = 565,973.91 × 228,844.46
  4. Step 4: Simplify right side
    410,124.89x = 129,519,989,833.95
  5. Step 5: Solve for x
    x = 129,519,989,833.95/410,124.89
  6. Step 6: Final answer
    x = 315,806.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.