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Finding the Fourth Proportional to 263,295.96, 362,970.50 and 187,713.24

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Solution

The fourth proportional to 263,295.96, 362,970.50 and 187,713.24 is: 258,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,295.96 : 362,970.50 = 187,713.24 : x
  2. Step 2: Convert to fraction form
    263,295.96/362,970.50 = 187,713.24/x
  3. Step 3: Cross multiply
    263,295.96x = 362,970.50 × 187,713.24
  4. Step 4: Simplify right side
    263,295.96x = 68,134,368,579.42
  5. Step 5: Solve for x
    x = 68,134,368,579.42/263,295.96
  6. Step 6: Final answer
    x = 258,774.83

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1.5x scale

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.