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Finding the Fourth Proportional to 601,595.40, 902,359.89 and 202,194.96

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Solution

The fourth proportional to 601,595.40, 902,359.89 and 202,194.96 is: 303,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,595.40 : 902,359.89 = 202,194.96 : x
  2. Step 2: Convert to fraction form
    601,595.40/902,359.89 = 202,194.96/x
  3. Step 3: Cross multiply
    601,595.40x = 902,359.89 × 202,194.96
  4. Step 4: Simplify right side
    601,595.40x = 182,452,621,864.15
  5. Step 5: Solve for x
    x = 182,452,621,864.15/601,595.40
  6. Step 6: Final answer
    x = 303,281.28

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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.