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Finding the Fourth Proportional to 293,784, 405,456.48 and 174,552

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Solution

The fourth proportional to 293,784, 405,456.48 and 174,552 is: 240,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,784 : 405,456.48 = 174,552 : x
  2. Step 2: Convert to fraction form
    293,784/405,456.48 = 174,552/x
  3. Step 3: Cross multiply
    293,784x = 405,456.48 × 174,552
  4. Step 4: Simplify right side
    293,784x = 70,773,239,496.96
  5. Step 5: Solve for x
    x = 70,773,239,496.96/293,784
  6. Step 6: Final answer
    x = 240,902.29

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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.