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Finding the Fourth Proportional to 601,540.32, 902,311.16 and 180,816.20

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Solution

The fourth proportional to 601,540.32, 902,311.16 and 180,816.20 is: 271,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,540.32 : 902,311.16 = 180,816.20 : x
  2. Step 2: Convert to fraction form
    601,540.32/902,311.16 = 180,816.20/x
  3. Step 3: Cross multiply
    601,540.32x = 902,311.16 × 180,816.20
  4. Step 4: Simplify right side
    601,540.32x = 163,152,475,168.79
  5. Step 5: Solve for x
    x = 163,152,475,168.79/601,540.32
  6. Step 6: Final answer
    x = 271,224.50

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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.