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Finding the Fourth Proportional to 256,572.87, 353,839.77 and 165,833.43

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Solution

The fourth proportional to 256,572.87, 353,839.77 and 165,833.43 is: 228,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,572.87 : 353,839.77 = 165,833.43 : x
  2. Step 2: Convert to fraction form
    256,572.87/353,839.77 = 165,833.43/x
  3. Step 3: Cross multiply
    256,572.87x = 353,839.77 × 165,833.43
  4. Step 4: Simplify right side
    256,572.87x = 58,678,462,729.51
  5. Step 5: Solve for x
    x = 58,678,462,729.51/256,572.87
  6. Step 6: Final answer
    x = 228,700.96

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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.