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Finding the Fourth Proportional to 468,646.44, 646,732.70 and 253,786.84

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Solution

The fourth proportional to 468,646.44, 646,732.70 and 253,786.84 is: 350,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,646.44 : 646,732.70 = 253,786.84 : x
  2. Step 2: Convert to fraction form
    468,646.44/646,732.70 = 253,786.84/x
  3. Step 3: Cross multiply
    468,646.44x = 646,732.70 × 253,786.84
  4. Step 4: Simplify right side
    468,646.44x = 164,132,248,257.67
  5. Step 5: Solve for x
    x = 164,132,248,257.67/468,646.44
  6. Step 6: Final answer
    x = 350,226.17

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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.