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Finding the Fourth Proportional to 442,342.32, 610,414.31 and 248,744.53

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Solution

The fourth proportional to 442,342.32, 610,414.31 and 248,744.53 is: 343,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,342.32 : 610,414.31 = 248,744.53 : x
  2. Step 2: Convert to fraction form
    442,342.32/610,414.31 = 248,744.53/x
  3. Step 3: Cross multiply
    442,342.32x = 610,414.31 × 248,744.53
  4. Step 4: Simplify right side
    442,342.32x = 151,837,219,402.50
  5. Step 5: Solve for x
    x = 151,837,219,402.50/442,342.32
  6. Step 6: Final answer
    x = 343,257.27

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1.5x scale

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.