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Finding the Fourth Proportional to 456,873.66, 684,561.44 and 323,514.52

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Solution

The fourth proportional to 456,873.66, 684,561.44 and 323,514.52 is: 484,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,873.66 : 684,561.44 = 323,514.52 : x
  2. Step 2: Convert to fraction form
    456,873.66/684,561.44 = 323,514.52/x
  3. Step 3: Cross multiply
    456,873.66x = 684,561.44 × 323,514.52
  4. Step 4: Simplify right side
    456,873.66x = 221,465,565,672.11
  5. Step 5: Solve for x
    x = 221,465,565,672.11/456,873.66
  6. Step 6: Final answer
    x = 484,741.37

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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.