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Finding the Fourth Proportional to 365,914.50, 548,304.93 and 253,812.66

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Solution

The fourth proportional to 365,914.50, 548,304.93 and 253,812.66 is: 380,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,914.50 : 548,304.93 = 253,812.66 : x
  2. Step 2: Convert to fraction form
    365,914.50/548,304.93 = 253,812.66/x
  3. Step 3: Cross multiply
    365,914.50x = 548,304.93 × 253,812.66
  4. Step 4: Simplify right side
    365,914.50x = 139,166,732,774.41
  5. Step 5: Solve for x
    x = 139,166,732,774.41/365,914.50
  6. Step 6: Final answer
    x = 380,325.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.