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Finding the Fourth Proportional to 442,211.58, 610,268.45 and 251,257.32

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Solution

The fourth proportional to 442,211.58, 610,268.45 and 251,257.32 is: 346,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,211.58 : 610,268.45 = 251,257.32 : x
  2. Step 2: Convert to fraction form
    442,211.58/610,268.45 = 251,257.32/x
  3. Step 3: Cross multiply
    442,211.58x = 610,268.45 × 251,257.32
  4. Step 4: Simplify right side
    442,211.58x = 153,334,413,971.27
  5. Step 5: Solve for x
    x = 153,334,413,971.27/442,211.58
  6. Step 6: Final answer
    x = 346,744.46

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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.