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Finding the Fourth Proportional to 365,838.70, 548,758.05 and 155,449.30

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Solution

The fourth proportional to 365,838.70, 548,758.05 and 155,449.30 is: 233,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,838.70 : 548,758.05 = 155,449.30 : x
  2. Step 2: Convert to fraction form
    365,838.70/548,758.05 = 155,449.30/x
  3. Step 3: Cross multiply
    365,838.70x = 548,758.05 × 155,449.30
  4. Step 4: Simplify right side
    365,838.70x = 85,304,054,741.87
  5. Step 5: Solve for x
    x = 85,304,054,741.87/365,838.70
  6. Step 6: Final answer
    x = 233,173.95

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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.