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Finding the Fourth Proportional to 601,585.28, 902,344.70 and 202,184.81

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Solution

The fourth proportional to 601,585.28, 902,344.70 and 202,184.81 is: 303,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,585.28 : 902,344.70 = 202,184.81 : x
  2. Step 2: Convert to fraction form
    601,585.28/902,344.70 = 202,184.81/x
  3. Step 3: Cross multiply
    601,585.28x = 902,344.70 × 202,184.81
  4. Step 4: Simplify right side
    601,585.28x = 182,440,386,201.36
  5. Step 5: Solve for x
    x = 182,440,386,201.36/601,585.28
  6. Step 6: Final answer
    x = 303,266.04

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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.