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Finding the Fourth Proportional to 500,185.85, 690,192.11 and 285,313.10

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Solution

The fourth proportional to 500,185.85, 690,192.11 and 285,313.10 is: 393,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,185.85 : 690,192.11 = 285,313.10 : x
  2. Step 2: Convert to fraction form
    500,185.85/690,192.11 = 285,313.10/x
  3. Step 3: Cross multiply
    500,185.85x = 690,192.11 × 285,313.10
  4. Step 4: Simplify right side
    500,185.85x = 196,920,847,761.96
  5. Step 5: Solve for x
    x = 196,920,847,761.96/500,185.85
  6. Step 6: Final answer
    x = 393,695.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.