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Finding the Fourth Proportional to 314,861.80, 473,214.30 and 274,311.40

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Solution

The fourth proportional to 314,861.80, 473,214.30 and 274,311.40 is: 412,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,861.80 : 473,214.30 = 274,311.40 : x
  2. Step 2: Convert to fraction form
    314,861.80/473,214.30 = 274,311.40/x
  3. Step 3: Cross multiply
    314,861.80x = 473,214.30 × 274,311.40
  4. Step 4: Simplify right side
    314,861.80x = 129,808,077,133.02
  5. Step 5: Solve for x
    x = 129,808,077,133.02/314,861.80
  6. Step 6: Final answer
    x = 412,270.01

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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.