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Finding the Fourth Proportional to 601,385.80, 902,100.48 and 202,039.60

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Solution

The fourth proportional to 601,385.80, 902,100.48 and 202,039.60 is: 303,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,385.80 : 902,100.48 = 202,039.60 : x
  2. Step 2: Convert to fraction form
    601,385.80/902,100.48 = 202,039.60/x
  3. Step 3: Cross multiply
    601,385.80x = 902,100.48 × 202,039.60
  4. Step 4: Simplify right side
    601,385.80x = 182,260,020,139.01
  5. Step 5: Solve for x
    x = 182,260,020,139.01/601,385.80
  6. Step 6: Final answer
    x = 303,066.72

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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.