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Finding the Fourth Proportional to 473,783.72, 711,167.78 and 274,493.48

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Solution

The fourth proportional to 473,783.72, 711,167.78 and 274,493.48 is: 412,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,783.72 : 711,167.78 = 274,493.48 : x
  2. Step 2: Convert to fraction form
    473,783.72/711,167.78 = 274,493.48/x
  3. Step 3: Cross multiply
    473,783.72x = 711,167.78 × 274,493.48
  4. Step 4: Simplify right side
    473,783.72x = 195,210,915,926.47
  5. Step 5: Solve for x
    x = 195,210,915,926.47/473,783.72
  6. Step 6: Final answer
    x = 412,025.38

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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.