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Finding the Fourth Proportional to 397,263.80, 595,895.70 and 284,706.20

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Solution

The fourth proportional to 397,263.80, 595,895.70 and 284,706.20 is: 427,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,263.80 : 595,895.70 = 284,706.20 : x
  2. Step 2: Convert to fraction form
    397,263.80/595,895.70 = 284,706.20/x
  3. Step 3: Cross multiply
    397,263.80x = 595,895.70 × 284,706.20
  4. Step 4: Simplify right side
    397,263.80x = 169,655,200,343.34
  5. Step 5: Solve for x
    x = 169,655,200,343.34/397,263.80
  6. Step 6: Final answer
    x = 427,059.30

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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.