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Finding the Fourth Proportional to 365,830.70, 548,746.05 and 155,441.30

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Solution

The fourth proportional to 365,830.70, 548,746.05 and 155,441.30 is: 233,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,830.70 : 548,746.05 = 155,441.30 : x
  2. Step 2: Convert to fraction form
    365,830.70/548,746.05 = 155,441.30/x
  3. Step 3: Cross multiply
    365,830.70x = 548,746.05 × 155,441.30
  4. Step 4: Simplify right side
    365,830.70x = 85,297,799,381.87
  5. Step 5: Solve for x
    x = 85,297,799,381.87/365,830.70
  6. Step 6: Final answer
    x = 233,161.95

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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.