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Finding the Fourth Proportional to 344,541.96, 475,443.54 and 193,661.64

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Solution

The fourth proportional to 344,541.96, 475,443.54 and 193,661.64 is: 267,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,541.96 : 475,443.54 = 193,661.64 : x
  2. Step 2: Convert to fraction form
    344,541.96/475,443.54 = 193,661.64/x
  3. Step 3: Cross multiply
    344,541.96x = 475,443.54 × 193,661.64
  4. Step 4: Simplify right side
    344,541.96x = 92,075,175,683.81
  5. Step 5: Solve for x
    x = 92,075,175,683.81/344,541.96
  6. Step 6: Final answer
    x = 267,239.37

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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.