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Finding the Fourth Proportional to 380,434.84, 524,964.42 and 227,442.60

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Solution

The fourth proportional to 380,434.84, 524,964.42 and 227,442.60 is: 313,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,434.84 : 524,964.42 = 227,442.60 : x
  2. Step 2: Convert to fraction form
    380,434.84/524,964.42 = 227,442.60/x
  3. Step 3: Cross multiply
    380,434.84x = 524,964.42 × 227,442.60
  4. Step 4: Simplify right side
    380,434.84x = 119,399,272,592.29
  5. Step 5: Solve for x
    x = 119,399,272,592.29/380,434.84
  6. Step 6: Final answer
    x = 313,849.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.