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Finding the Fourth Proportional to 296,428.76, 444,504.71 and 106,864.16

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Solution

The fourth proportional to 296,428.76, 444,504.71 and 106,864.16 is: 160,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,428.76 : 444,504.71 = 106,864.16 : x
  2. Step 2: Convert to fraction form
    296,428.76/444,504.71 = 106,864.16/x
  3. Step 3: Cross multiply
    296,428.76x = 444,504.71 × 106,864.16
  4. Step 4: Simplify right side
    296,428.76x = 47,501,622,995.17
  5. Step 5: Solve for x
    x = 47,501,622,995.17/296,428.76
  6. Step 6: Final answer
    x = 160,246.33

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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.