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Finding the Fourth Proportional to 456,599.62, 685,016.28 and 267,219.46

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Solution

The fourth proportional to 456,599.62, 685,016.28 and 267,219.46 is: 400,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,599.62 : 685,016.28 = 267,219.46 : x
  2. Step 2: Convert to fraction form
    456,599.62/685,016.28 = 267,219.46/x
  3. Step 3: Cross multiply
    456,599.62x = 685,016.28 × 267,219.46
  4. Step 4: Simplify right side
    456,599.62x = 183,049,680,432.81
  5. Step 5: Solve for x
    x = 183,049,680,432.81/456,599.62
  6. Step 6: Final answer
    x = 400,897.58

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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.