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Finding the Fourth Proportional to 384,383.04, 576,574.56 and 174,016.32

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Solution

The fourth proportional to 384,383.04, 576,574.56 and 174,016.32 is: 261,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,383.04 : 576,574.56 = 174,016.32 : x
  2. Step 2: Convert to fraction form
    384,383.04/576,574.56 = 174,016.32/x
  3. Step 3: Cross multiply
    384,383.04x = 576,574.56 × 174,016.32
  4. Step 4: Simplify right side
    384,383.04x = 100,333,383,136.82
  5. Step 5: Solve for x
    x = 100,333,383,136.82/384,383.04
  6. Step 6: Final answer
    x = 261,024.48

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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.