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Finding the Fourth Proportional to 331,727.40, 457,783.79 and 180,824.40

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Solution

The fourth proportional to 331,727.40, 457,783.79 and 180,824.40 is: 249,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,727.40 : 457,783.79 = 180,824.40 : x
  2. Step 2: Convert to fraction form
    331,727.40/457,783.79 = 180,824.40/x
  3. Step 3: Cross multiply
    331,727.40x = 457,783.79 × 180,824.40
  4. Step 4: Simplify right side
    331,727.40x = 82,778,478,252.35
  5. Step 5: Solve for x
    x = 82,778,478,252.35/331,727.40
  6. Step 6: Final answer
    x = 249,537.66

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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.