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Finding the Fourth Proportional to 314,713.68, 434,299.41 and 171,474.90

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Solution

The fourth proportional to 314,713.68, 434,299.41 and 171,474.90 is: 236,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,713.68 : 434,299.41 = 171,474.90 : x
  2. Step 2: Convert to fraction form
    314,713.68/434,299.41 = 171,474.90/x
  3. Step 3: Cross multiply
    314,713.68x = 434,299.41 × 171,474.90
  4. Step 4: Simplify right side
    314,713.68x = 74,471,447,899.81
  5. Step 5: Solve for x
    x = 74,471,447,899.81/314,713.68
  6. Step 6: Final answer
    x = 236,632.38

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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.