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Finding the Fourth Proportional to 508,769.82, 702,067.23 and 282,397.50

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Solution

The fourth proportional to 508,769.82, 702,067.23 and 282,397.50 is: 389,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,769.82 : 702,067.23 = 282,397.50 : x
  2. Step 2: Convert to fraction form
    508,769.82/702,067.23 = 282,397.50/x
  3. Step 3: Cross multiply
    508,769.82x = 702,067.23 × 282,397.50
  4. Step 4: Simplify right side
    508,769.82x = 198,262,030,583.93
  5. Step 5: Solve for x
    x = 198,262,030,583.93/508,769.82
  6. Step 6: Final answer
    x = 389,689.06

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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.