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Finding the Fourth Proportional to 468,162.42, 646,059.54 and 253,297.77

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Solution

The fourth proportional to 468,162.42, 646,059.54 and 253,297.77 is: 349,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,162.42 : 646,059.54 = 253,297.77 : x
  2. Step 2: Convert to fraction form
    468,162.42/646,059.54 = 253,297.77/x
  3. Step 3: Cross multiply
    468,162.42x = 646,059.54 × 253,297.77
  4. Step 4: Simplify right side
    468,162.42x = 163,645,440,769.23
  5. Step 5: Solve for x
    x = 163,645,440,769.23/468,162.42
  6. Step 6: Final answer
    x = 349,548.43

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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.