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Finding the Fourth Proportional to 601,847.76, 902,628.40 and 242,019.48

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Solution

The fourth proportional to 601,847.76, 902,628.40 and 242,019.48 is: 362,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,847.76 : 902,628.40 = 242,019.48 : x
  2. Step 2: Convert to fraction form
    601,847.76/902,628.40 = 242,019.48/x
  3. Step 3: Cross multiply
    601,847.76x = 902,628.40 × 242,019.48
  4. Step 4: Simplify right side
    601,847.76x = 218,453,656,001.23
  5. Step 5: Solve for x
    x = 218,453,656,001.23/601,847.76
  6. Step 6: Final answer
    x = 362,971.62

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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.