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Finding the Fourth Proportional to 310,716.73, 465,072.72 and 160,750.50

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Solution

The fourth proportional to 310,716.73, 465,072.72 and 160,750.50 is: 240,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,716.73 : 465,072.72 = 160,750.50 : x
  2. Step 2: Convert to fraction form
    310,716.73/465,072.72 = 160,750.50/x
  3. Step 3: Cross multiply
    310,716.73x = 465,072.72 × 160,750.50
  4. Step 4: Simplify right side
    310,716.73x = 74,760,672,276.36
  5. Step 5: Solve for x
    x = 74,760,672,276.36/310,716.73
  6. Step 6: Final answer
    x = 240,607.17

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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.