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Finding the Fourth Proportional to 230,528.88, 345,754.44 and 64,278

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Solution

The fourth proportional to 230,528.88, 345,754.44 and 64,278 is: 96,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,528.88 : 345,754.44 = 64,278 : x
  2. Step 2: Convert to fraction form
    230,528.88/345,754.44 = 64,278/x
  3. Step 3: Cross multiply
    230,528.88x = 345,754.44 × 64,278
  4. Step 4: Simplify right side
    230,528.88x = 22,224,403,894.32
  5. Step 5: Solve for x
    x = 22,224,403,894.32/230,528.88
  6. Step 6: Final answer
    x = 96,406.16

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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.