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Finding the Fourth Proportional to 456,874.66, 684,562.94 and 323,515.52

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Solution

The fourth proportional to 456,874.66, 684,562.94 and 323,515.52 is: 484,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,874.66 : 684,562.94 = 323,515.52 : x
  2. Step 2: Convert to fraction form
    456,874.66/684,562.94 = 323,515.52/x
  3. Step 3: Cross multiply
    456,874.66x = 684,562.94 × 323,515.52
  4. Step 4: Simplify right side
    456,874.66x = 221,466,735,506.83
  5. Step 5: Solve for x
    x = 221,466,735,506.83/456,874.66
  6. Step 6: Final answer
    x = 484,742.87

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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.