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Finding the Fourth Proportional to 456,873.16, 684,560.69 and 323,514.02

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Solution

The fourth proportional to 456,873.16, 684,560.69 and 323,514.02 is: 484,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,873.16 : 684,560.69 = 323,514.02 : x
  2. Step 2: Convert to fraction form
    456,873.16/684,560.69 = 323,514.02/x
  3. Step 3: Cross multiply
    456,873.16x = 684,560.69 × 323,514.02
  4. Step 4: Simplify right side
    456,873.16x = 221,464,980,755.87
  5. Step 5: Solve for x
    x = 221,464,980,755.87/456,873.16
  6. Step 6: Final answer
    x = 484,740.62

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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.