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Finding the Fourth Proportional to 504,846.90, 696,690.71 and 275,409.06

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Solution

The fourth proportional to 504,846.90, 696,690.71 and 275,409.06 is: 380,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,846.90 : 696,690.71 = 275,409.06 : x
  2. Step 2: Convert to fraction form
    504,846.90/696,690.71 = 275,409.06/x
  3. Step 3: Cross multiply
    504,846.90x = 696,690.71 × 275,409.06
  4. Step 4: Simplify right side
    504,846.90x = 191,874,933,551.83
  5. Step 5: Solve for x
    x = 191,874,933,551.83/504,846.90
  6. Step 6: Final answer
    x = 380,065.59

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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.