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Finding the Fourth Proportional to 308,335.68, 462,596.67 and 146,354.04

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Solution

The fourth proportional to 308,335.68, 462,596.67 and 146,354.04 is: 219,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,335.68 : 462,596.67 = 146,354.04 : x
  2. Step 2: Convert to fraction form
    308,335.68/462,596.67 = 146,354.04/x
  3. Step 3: Cross multiply
    308,335.68x = 462,596.67 × 146,354.04
  4. Step 4: Simplify right side
    308,335.68x = 67,702,891,545.05
  5. Step 5: Solve for x
    x = 67,702,891,545.05/308,335.68
  6. Step 6: Final answer
    x = 219,575.27

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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.