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Finding the Fourth Proportional to 653,806.27, 902,246.50 and 363,410.23

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Solution

The fourth proportional to 653,806.27, 902,246.50 and 363,410.23 is: 501,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,806.27 : 902,246.50 = 363,410.23 : x
  2. Step 2: Convert to fraction form
    653,806.27/902,246.50 = 363,410.23/x
  3. Step 3: Cross multiply
    653,806.27x = 902,246.50 × 363,410.23
  4. Step 4: Simplify right side
    653,806.27x = 327,885,608,081.70
  5. Step 5: Solve for x
    x = 327,885,608,081.70/653,806.27
  6. Step 6: Final answer
    x = 501,502.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.