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Finding the Fourth Proportional to 298,582.81, 448,017.62 and 186,234.19

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Solution

The fourth proportional to 298,582.81, 448,017.62 and 186,234.19 is: 279,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,582.81 : 448,017.62 = 186,234.19 : x
  2. Step 2: Convert to fraction form
    298,582.81/448,017.62 = 186,234.19/x
  3. Step 3: Cross multiply
    298,582.81x = 448,017.62 × 186,234.19
  4. Step 4: Simplify right side
    298,582.81x = 83,436,196,515.21
  5. Step 5: Solve for x
    x = 83,436,196,515.21/298,582.81
  6. Step 6: Final answer
    x = 279,440.73

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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.