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Finding the Fourth Proportional to 602,471.70, 903,077 and 202,974.42

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Solution

The fourth proportional to 602,471.70, 903,077 and 202,974.42 is: 304,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,471.70 : 903,077 = 202,974.42 : x
  2. Step 2: Convert to fraction form
    602,471.70/903,077 = 202,974.42/x
  3. Step 3: Cross multiply
    602,471.70x = 903,077 × 202,974.42
  4. Step 4: Simplify right side
    602,471.70x = 183,301,530,290.34
  5. Step 5: Solve for x
    x = 183,301,530,290.34/602,471.70
  6. Step 6: Final answer
    x = 304,249.20

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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.