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Finding the Fourth Proportional to 602,022.70, 902,713.29 and 202,530.70

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Solution

The fourth proportional to 602,022.70, 902,713.29 and 202,530.70 is: 303,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,022.70 : 902,713.29 = 202,530.70 : x
  2. Step 2: Convert to fraction form
    602,022.70/902,713.29 = 202,530.70/x
  3. Step 3: Cross multiply
    602,022.70x = 902,713.29 × 202,530.70
  4. Step 4: Simplify right side
    602,022.70x = 182,827,154,523.00
  5. Step 5: Solve for x
    x = 182,827,154,523.00/602,022.70
  6. Step 6: Final answer
    x = 303,688.14

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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.