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Finding the Fourth Proportional to 310,706.48, 465,057.32 and 160,740.26

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Solution

The fourth proportional to 310,706.48, 465,057.32 and 160,740.26 is: 240,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,706.48 : 465,057.32 = 160,740.26 : x
  2. Step 2: Convert to fraction form
    310,706.48/465,057.32 = 160,740.26/x
  3. Step 3: Cross multiply
    310,706.48x = 465,057.32 × 160,740.26
  4. Step 4: Simplify right side
    310,706.48x = 74,753,434,531.70
  5. Step 5: Solve for x
    x = 74,753,434,531.70/310,706.48
  6. Step 6: Final answer
    x = 240,591.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.