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Finding the Fourth Proportional to 230,657.44, 346,043.76 and 64,444

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Solution

The fourth proportional to 230,657.44, 346,043.76 and 64,444 is: 96,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,657.44 : 346,043.76 = 64,444 : x
  2. Step 2: Convert to fraction form
    230,657.44/346,043.76 = 64,444/x
  3. Step 3: Cross multiply
    230,657.44x = 346,043.76 × 64,444
  4. Step 4: Simplify right side
    230,657.44x = 22,300,444,069.44
  5. Step 5: Solve for x
    x = 22,300,444,069.44/230,657.44
  6. Step 6: Final answer
    x = 96,682.09

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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.