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Finding the Fourth Proportional to 341,300.44, 511,916.10 and 92,007.64

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Solution

The fourth proportional to 341,300.44, 511,916.10 and 92,007.64 is: 138,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,300.44 : 511,916.10 = 92,007.64 : x
  2. Step 2: Convert to fraction form
    341,300.44/511,916.10 = 92,007.64/x
  3. Step 3: Cross multiply
    341,300.44x = 511,916.10 × 92,007.64
  4. Step 4: Simplify right side
    341,300.44x = 47,100,192,239.00
  5. Step 5: Solve for x
    x = 47,100,192,239.00/341,300.44
  6. Step 6: Final answer
    x = 138,002.14

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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.