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Finding the Fourth Proportional to 421,394.10, 581,681.99 and 276,209.23

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Solution

The fourth proportional to 421,394.10, 581,681.99 and 276,209.23 is: 381,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,394.10 : 581,681.99 = 276,209.23 : x
  2. Step 2: Convert to fraction form
    421,394.10/581,681.99 = 276,209.23/x
  3. Step 3: Cross multiply
    421,394.10x = 581,681.99 × 276,209.23
  4. Step 4: Simplify right side
    421,394.10x = 160,665,933,181.72
  5. Step 5: Solve for x
    x = 160,665,933,181.72/421,394.10
  6. Step 6: Final answer
    x = 381,272.39

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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.