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Finding the Fourth Proportional to 509,059.46, 702,461.08 and 294,213.44

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Solution

The fourth proportional to 509,059.46, 702,461.08 and 294,213.44 is: 405,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,059.46 : 702,461.08 = 294,213.44 : x
  2. Step 2: Convert to fraction form
    509,059.46/702,461.08 = 294,213.44/x
  3. Step 3: Cross multiply
    509,059.46x = 702,461.08 × 294,213.44
  4. Step 4: Simplify right side
    509,059.46x = 206,673,490,812.92
  5. Step 5: Solve for x
    x = 206,673,490,812.92/509,059.46
  6. Step 6: Final answer
    x = 405,990.87

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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.