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Finding the Fourth Proportional to 310,025.73, 427,802.38 and 174,074.63

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Solution

The fourth proportional to 310,025.73, 427,802.38 and 174,074.63 is: 240,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,025.73 : 427,802.38 = 174,074.63 : x
  2. Step 2: Convert to fraction form
    310,025.73/427,802.38 = 174,074.63/x
  3. Step 3: Cross multiply
    310,025.73x = 427,802.38 × 174,074.63
  4. Step 4: Simplify right side
    310,025.73x = 74,469,538,437.42
  5. Step 5: Solve for x
    x = 74,469,538,437.42/310,025.73
  6. Step 6: Final answer
    x = 240,204.38

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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.