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Finding the Fourth Proportional to 473,783.34, 711,167.22 and 274,493.10

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Solution

The fourth proportional to 473,783.34, 711,167.22 and 274,493.10 is: 412,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,783.34 : 711,167.22 = 274,493.10 : x
  2. Step 2: Convert to fraction form
    473,783.34/711,167.22 = 274,493.10/x
  3. Step 3: Cross multiply
    473,783.34x = 711,167.22 × 274,493.10
  4. Step 4: Simplify right side
    473,783.34x = 195,210,494,836.18
  5. Step 5: Solve for x
    x = 195,210,494,836.18/473,783.34
  6. Step 6: Final answer
    x = 412,024.82

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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.