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Finding the Fourth Proportional to 492,794.84, 680,057.16 and 266,440.16

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Solution

The fourth proportional to 492,794.84, 680,057.16 and 266,440.16 is: 367,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794.84 : 680,057.16 = 266,440.16 : x
  2. Step 2: Convert to fraction form
    492,794.84/680,057.16 = 266,440.16/x
  3. Step 3: Cross multiply
    492,794.84x = 680,057.16 × 266,440.16
  4. Step 4: Simplify right side
    492,794.84x = 181,194,538,519.55
  5. Step 5: Solve for x
    x = 181,194,538,519.55/492,794.84
  6. Step 6: Final answer
    x = 367,687.57

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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.