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Finding the Fourth Proportional to 449,684.50, 620,627.91 and 286,288.82

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Solution

The fourth proportional to 449,684.50, 620,627.91 and 286,288.82 is: 395,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,684.50 : 620,627.91 = 286,288.82 : x
  2. Step 2: Convert to fraction form
    449,684.50/620,627.91 = 286,288.82/x
  3. Step 3: Cross multiply
    449,684.50x = 620,627.91 × 286,288.82
  4. Step 4: Simplify right side
    449,684.50x = 177,678,827,478.38
  5. Step 5: Solve for x
    x = 177,678,827,478.38/449,684.50
  6. Step 6: Final answer
    x = 395,118.86

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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.