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Finding the Fourth Proportional to 456,598.62, 685,014.78 and 267,218.46

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Solution

The fourth proportional to 456,598.62, 685,014.78 and 267,218.46 is: 400,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,598.62 : 685,014.78 = 267,218.46 : x
  2. Step 2: Convert to fraction form
    456,598.62/685,014.78 = 267,218.46/x
  3. Step 3: Cross multiply
    456,598.62x = 685,014.78 × 267,218.46
  4. Step 4: Simplify right side
    456,598.62x = 183,048,594,588.84
  5. Step 5: Solve for x
    x = 183,048,594,588.84/456,598.62
  6. Step 6: Final answer
    x = 400,896.07

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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.