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Finding the Fourth Proportional to 365,712.16, 548,151.84 and 228,999.16

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Solution

The fourth proportional to 365,712.16, 548,151.84 and 228,999.16 is: 343,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,712.16 : 548,151.84 = 228,999.16 : x
  2. Step 2: Convert to fraction form
    365,712.16/548,151.84 = 228,999.16/x
  3. Step 3: Cross multiply
    365,712.16x = 548,151.84 × 228,999.16
  4. Step 4: Simplify right side
    365,712.16x = 125,526,310,912.45
  5. Step 5: Solve for x
    x = 125,526,310,912.45/365,712.16
  6. Step 6: Final answer
    x = 343,238.00

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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.