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Finding the Fourth Proportional to 308,524.65, 462,833.15 and 98,209.77

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Solution

The fourth proportional to 308,524.65, 462,833.15 and 98,209.77 is: 147,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,524.65 : 462,833.15 = 98,209.77 : x
  2. Step 2: Convert to fraction form
    308,524.65/462,833.15 = 98,209.77/x
  3. Step 3: Cross multiply
    308,524.65x = 462,833.15 × 98,209.77
  4. Step 4: Simplify right side
    308,524.65x = 45,454,736,718.83
  5. Step 5: Solve for x
    x = 45,454,736,718.83/308,524.65
  6. Step 6: Final answer
    x = 147,329.35

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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.