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Finding the Fourth Proportional to 409,905.27, 610,782.89 and 365,188.41

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Solution

The fourth proportional to 409,905.27, 610,782.89 and 365,188.41 is: 544,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,905.27 : 610,782.89 = 365,188.41 : x
  2. Step 2: Convert to fraction form
    409,905.27/610,782.89 = 365,188.41/x
  3. Step 3: Cross multiply
    409,905.27x = 610,782.89 × 365,188.41
  4. Step 4: Simplify right side
    409,905.27x = 223,050,833,367.28
  5. Step 5: Solve for x
    x = 223,050,833,367.28/409,905.27
  6. Step 6: Final answer
    x = 544,152.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.