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Finding the Fourth Proportional to 294,602.54, 442,097.53 and 161,576.17

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Solution

The fourth proportional to 294,602.54, 442,097.53 and 161,576.17 is: 242,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,602.54 : 442,097.53 = 161,576.17 : x
  2. Step 2: Convert to fraction form
    294,602.54/442,097.53 = 161,576.17/x
  3. Step 3: Cross multiply
    294,602.54x = 442,097.53 × 161,576.17
  4. Step 4: Simplify right side
    294,602.54x = 71,432,424,154.68
  5. Step 5: Solve for x
    x = 71,432,424,154.68/294,602.54
  6. Step 6: Final answer
    x = 242,470.50

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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.