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Finding the Fourth Proportional to 602,022.20, 902,712.54 and 202,530.20

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Solution

The fourth proportional to 602,022.20, 902,712.54 and 202,530.20 is: 303,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,022.20 : 902,712.54 = 202,530.20 : x
  2. Step 2: Convert to fraction form
    602,022.20/902,712.54 = 202,530.20/x
  3. Step 3: Cross multiply
    602,022.20x = 902,712.54 × 202,530.20
  4. Step 4: Simplify right side
    602,022.20x = 182,826,551,268.71
  5. Step 5: Solve for x
    x = 182,826,551,268.71/602,022.20
  6. Step 6: Final answer
    x = 303,687.39

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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.