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Finding the Fourth Proportional to 509,663.76, 764,706.24 and 256,809.12

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Solution

The fourth proportional to 509,663.76, 764,706.24 and 256,809.12 is: 385,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,663.76 : 764,706.24 = 256,809.12 : x
  2. Step 2: Convert to fraction form
    509,663.76/764,706.24 = 256,809.12/x
  3. Step 3: Cross multiply
    509,663.76x = 764,706.24 × 256,809.12
  4. Step 4: Simplify right side
    509,663.76x = 196,383,536,552.91
  5. Step 5: Solve for x
    x = 196,383,536,552.91/509,663.76
  6. Step 6: Final answer
    x = 385,319.80

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1.5x scale

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.