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Finding the Fourth Proportional to 233,534.86, 349,022.70 and 170,487.74

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Solution

The fourth proportional to 233,534.86, 349,022.70 and 170,487.74 is: 254,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,534.86 : 349,022.70 = 170,487.74 : x
  2. Step 2: Convert to fraction form
    233,534.86/349,022.70 = 170,487.74/x
  3. Step 3: Cross multiply
    233,534.86x = 349,022.70 × 170,487.74
  4. Step 4: Simplify right side
    233,534.86x = 59,504,091,331.70
  5. Step 5: Solve for x
    x = 59,504,091,331.70/233,534.86
  6. Step 6: Final answer
    x = 254,797.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.