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Finding the Fourth Proportional to 298,030.64, 447,339.72 and 218,922.80

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Solution

The fourth proportional to 298,030.64, 447,339.72 and 218,922.80 is: 328,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,030.64 : 447,339.72 = 218,922.80 : x
  2. Step 2: Convert to fraction form
    298,030.64/447,339.72 = 218,922.80/x
  3. Step 3: Cross multiply
    298,030.64x = 447,339.72 × 218,922.80
  4. Step 4: Simplify right side
    298,030.64x = 97,932,864,053.62
  5. Step 5: Solve for x
    x = 97,932,864,053.62/298,030.64
  6. Step 6: Final answer
    x = 328,599.99

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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.