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Finding the Fourth Proportional to 492,846.54, 680,127.75 and 266,491.50

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Solution

The fourth proportional to 492,846.54, 680,127.75 and 266,491.50 is: 367,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,846.54 : 680,127.75 = 266,491.50 : x
  2. Step 2: Convert to fraction form
    492,846.54/680,127.75 = 266,491.50/x
  3. Step 3: Cross multiply
    492,846.54x = 680,127.75 × 266,491.50
  4. Step 4: Simplify right side
    492,846.54x = 181,248,264,289.13
  5. Step 5: Solve for x
    x = 181,248,264,289.13/492,846.54
  6. Step 6: Final answer
    x = 367,758.01

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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.