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Finding the Fourth Proportional to 601,657.38, 902,384.55 and 281,843.46

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Solution

The fourth proportional to 601,657.38, 902,384.55 and 281,843.46 is: 422,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,657.38 : 902,384.55 = 281,843.46 : x
  2. Step 2: Convert to fraction form
    601,657.38/902,384.55 = 281,843.46/x
  3. Step 3: Cross multiply
    601,657.38x = 902,384.55 × 281,843.46
  4. Step 4: Simplify right side
    601,657.38x = 254,331,186,783.11
  5. Step 5: Solve for x
    x = 254,331,186,783.11/601,657.38
  6. Step 6: Final answer
    x = 422,717.64

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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.