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Finding the Fourth Proportional to 329,473.48, 454,661.16 and 178,567.24

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Solution

The fourth proportional to 329,473.48, 454,661.16 and 178,567.24 is: 246,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,473.48 : 454,661.16 = 178,567.24 : x
  2. Step 2: Convert to fraction form
    329,473.48/454,661.16 = 178,567.24/x
  3. Step 3: Cross multiply
    329,473.48x = 454,661.16 × 178,567.24
  4. Step 4: Simplify right side
    329,473.48x = 81,187,588,476.40
  5. Step 5: Solve for x
    x = 81,187,588,476.40/329,473.48
  6. Step 6: Final answer
    x = 246,416.16

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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.