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Finding the Fourth Proportional to 314,722.30, 473,005.05 and 274,171.90

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Solution

The fourth proportional to 314,722.30, 473,005.05 and 274,171.90 is: 412,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.30 : 473,005.05 = 274,171.90 : x
  2. Step 2: Convert to fraction form
    314,722.30/473,005.05 = 274,171.90/x
  3. Step 3: Cross multiply
    314,722.30x = 473,005.05 × 274,171.90
  4. Step 4: Simplify right side
    314,722.30x = 129,684,693,268.10
  5. Step 5: Solve for x
    x = 129,684,693,268.10/314,722.30
  6. Step 6: Final answer
    x = 412,060.71

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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.