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Finding the Fourth Proportional to 310,391.66, 465,351.41 and 160,536.40

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Solution

The fourth proportional to 310,391.66, 465,351.41 and 160,536.40 is: 240,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,391.66 : 465,351.41 = 160,536.40 : x
  2. Step 2: Convert to fraction form
    310,391.66/465,351.41 = 160,536.40/x
  3. Step 3: Cross multiply
    310,391.66x = 465,351.41 × 160,536.40
  4. Step 4: Simplify right side
    310,391.66x = 74,705,839,334.29
  5. Step 5: Solve for x
    x = 74,705,839,334.29/310,391.66
  6. Step 6: Final answer
    x = 240,682.49

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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.