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Finding the Fourth Proportional to 560,776.97, 840,667.92 and 205,709.32

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Solution

The fourth proportional to 560,776.97, 840,667.92 and 205,709.32 is: 308,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,776.97 : 840,667.92 = 205,709.32 : x
  2. Step 2: Convert to fraction form
    560,776.97/840,667.92 = 205,709.32/x
  3. Step 3: Cross multiply
    560,776.97x = 840,667.92 × 205,709.32
  4. Step 4: Simplify right side
    560,776.97x = 172,933,226,448.44
  5. Step 5: Solve for x
    x = 172,933,226,448.44/560,776.97
  6. Step 6: Final answer
    x = 308,381.47

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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.