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Finding the Fourth Proportional to 334,975.94, 502,455.60 and 82,254.32

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Solution

The fourth proportional to 334,975.94, 502,455.60 and 82,254.32 is: 123,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,975.94 : 502,455.60 = 82,254.32 : x
  2. Step 2: Convert to fraction form
    334,975.94/502,455.60 = 82,254.32/x
  3. Step 3: Cross multiply
    334,975.94x = 502,455.60 × 82,254.32
  4. Step 4: Simplify right side
    334,975.94x = 41,329,141,195.91
  5. Step 5: Solve for x
    x = 41,329,141,195.91/334,975.94
  6. Step 6: Final answer
    x = 123,379.43

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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.