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Finding the Fourth Proportional to 442,396.44, 610,506 and 251,409.60

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Solution

The fourth proportional to 442,396.44, 610,506 and 251,409.60 is: 346,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,396.44 : 610,506 = 251,409.60 : x
  2. Step 2: Convert to fraction form
    442,396.44/610,506 = 251,409.60/x
  3. Step 3: Cross multiply
    442,396.44x = 610,506 × 251,409.60
  4. Step 4: Simplify right side
    442,396.44x = 153,487,069,257.60
  5. Step 5: Solve for x
    x = 153,487,069,257.60/442,396.44
  6. Step 6: Final answer
    x = 346,944.63

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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.