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Finding the Fourth Proportional to 397,312.80, 595,969.20 and 184,080.30

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Solution

The fourth proportional to 397,312.80, 595,969.20 and 184,080.30 is: 276,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,312.80 : 595,969.20 = 184,080.30 : x
  2. Step 2: Convert to fraction form
    397,312.80/595,969.20 = 184,080.30/x
  3. Step 3: Cross multiply
    397,312.80x = 595,969.20 × 184,080.30
  4. Step 4: Simplify right side
    397,312.80x = 109,706,189,126.76
  5. Step 5: Solve for x
    x = 109,706,189,126.76/397,312.80
  6. Step 6: Final answer
    x = 276,120.45

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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.