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Finding the Fourth Proportional to 601,570.80, 902,356.20 and 202,224.60

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Solution

The fourth proportional to 601,570.80, 902,356.20 and 202,224.60 is: 303,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,570.80 : 902,356.20 = 202,224.60 : x
  2. Step 2: Convert to fraction form
    601,570.80/902,356.20 = 202,224.60/x
  3. Step 3: Cross multiply
    601,570.80x = 902,356.20 × 202,224.60
  4. Step 4: Simplify right side
    601,570.80x = 182,478,621,602.52
  5. Step 5: Solve for x
    x = 182,478,621,602.52/601,570.80
  6. Step 6: Final answer
    x = 303,336.90

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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.