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Finding the Fourth Proportional to 304,727.60, 456,953.16 and 198,006.32

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Solution

The fourth proportional to 304,727.60, 456,953.16 and 198,006.32 is: 296,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,727.60 : 456,953.16 = 198,006.32 : x
  2. Step 2: Convert to fraction form
    304,727.60/456,953.16 = 198,006.32/x
  3. Step 3: Cross multiply
    304,727.60x = 456,953.16 × 198,006.32
  4. Step 4: Simplify right side
    304,727.60x = 90,479,613,623.97
  5. Step 5: Solve for x
    x = 90,479,613,623.97/304,727.60
  6. Step 6: Final answer
    x = 296,919.65

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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.