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Finding the Fourth Proportional to 292,443.84, 438,576.44 and 123,961

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Solution

The fourth proportional to 292,443.84, 438,576.44 and 123,961 is: 185,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,443.84 : 438,576.44 = 123,961 : x
  2. Step 2: Convert to fraction form
    292,443.84/438,576.44 = 123,961/x
  3. Step 3: Cross multiply
    292,443.84x = 438,576.44 × 123,961
  4. Step 4: Simplify right side
    292,443.84x = 54,366,374,078.84
  5. Step 5: Solve for x
    x = 54,366,374,078.84/292,443.84
  6. Step 6: Final answer
    x = 185,903.64

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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.